201578832 has 120 divisors (see below), whose sum is σ = 694372224. Its totient is φ = 53160192.

The previous prime is 201578807. The next prime is 201578851. The reversal of 201578832 is 238875102.

201578832 is a `hidden beast` number, since 2 + 0 + 1 + 578 + 83 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5413 + ... + 20795.

Almost surely, 2^201578832 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 201578832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347186112).

201578832 is an abundant number, since it is smaller than the sum of its proper divisors (492793392).

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

201578832 is a wasteful number, since it uses less digits than its factorization.

201578832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15417 (or 15408 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 201578832 is about 14197.8460338179. The cubic root of 201578832 is about 586.3383602720.

The spelling of 201578832 in words is "two hundred one million, five hundred seventy-eight thousand, eight hundred thirty-two".