20827008 has 96 divisors (see below), whose sum is σ = 60863400. Its totient is φ = 6835200.

The previous prime is 20827003. The next prime is 20827013. The reversal of 20827008 is 80072802.

It is an interprime number because it is at equal distance from previous prime (20827003) and next prime (20827013).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20827003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116263 + ... + 116441.

Almost surely, 2^20827008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20827008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30431700).

20827008 is an abundant number, since it is smaller than the sum of its proper divisors (40036392).

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

20827008 is a wasteful number, since it uses less digits than its factorization.

20827008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 20827008 is about 4563.6616877240. The cubic root of 20827008 is about 275.1327535351.

The spelling of 20827008 in words is "twenty million, eight hundred twenty-seven thousand, eight".