210827008 has 72 divisors (see below), whose sum is σ = 490968800. Its totient is φ = 90354432.

The previous prime is 210827003. The next prime is 210827009. The reversal of 210827008 is 800728012.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210827003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30118141 + ... + 30118147.

Almost surely, 2^210827008 is an apocalyptic number.

210827008 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210827008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245484400).

210827008 is an abundant number, since it is smaller than the sum of its proper divisors (280141792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

210827008 is an frugal number, since it uses more digits than its factorization.

210827008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 9 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 210827008 is about 14519.8831951225. The cubic root of 210827008 is about 595.1714384876.

Multiplying 210827008 by its sum of digits (28), we get a square (5903156224 = 76832²).

210827008 divided by its sum of digits (28) gives a 6-th power (7529536 = 14⁶).

Multiplying 210827008 by its product of nonzero digits (1792), we get a 8-th power (377801998336 = 28⁸).

210827008 divided by its product of nonzero digits (1792) gives a 6-th power (117649 = 7⁶).

The spelling of 210827008 in words is "two hundred ten million, eight hundred twenty-seven thousand, eight".