213177040 has 80 divisors (see below), whose sum is σ = 513467136. Its totient is φ = 82252800.

The previous prime is 213177031. The next prime is 213177043. The reversal of 213177040 is 40771312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 213176996 and 213177014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213177043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 337525 + ... + 338155.

Almost surely, 2^213177040 is an apocalyptic number.

213177040 is a gapful number since it is divisible by the number (20) 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 213177040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256733568).

213177040 is an abundant number, since it is smaller than the sum of its proper divisors (300290096).

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

213177040 is a wasteful number, since it uses less digits than its factorization.

213177040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 213177040 is about 14600.5835499818. The cubic root of 213177040 is about 597.3746777071.

The spelling of 213177040 in words is "two hundred thirteen million, one hundred seventy-seven thousand, forty".