527872896 has 128 divisors (see below), whose sum is σ = 1640160000. Its totient is φ = 166675968.

The previous prime is 527872883. The next prime is 527872901. The reversal of 527872896 is 698278725.

It is a happy number.

527872896 is a `hidden beast` number, since 527 + 8 + 7 + 28 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61645 + ... + 69683.

It is an arithmetic number, because the mean of its divisors is an integer number (12813750).

Almost surely, 2^527872896 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 527872896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820080000).

527872896 is an abundant number, since it is smaller than the sum of its proper divisors (1112287104).

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

527872896 is a wasteful number, since it uses less digits than its factorization.

527872896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8081 (or 8063 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The square root of 527872896 is about 22975.4846738866. The cubic root of 527872896 is about 808.1831431403.

The spelling of 527872896 in words is "five hundred twenty-seven million, eight hundred seventy-two thousand, eight hundred ninety-six".