527064096 has 96 divisors (see below), whose sum is σ = 1541453760. Its totient is φ = 156570624.

The previous prime is 527064091. The next prime is 527064103. The reversal of 527064096 is 690460725.

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

It is a super-2 number, since 2×527064096² = 555593122584594432, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) 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 (39).

It is not an unprimeable number, because it can be changed into a prime (527064091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28911 + ... + 43473.

It is an arithmetic number, because the mean of its divisors is an integer number (16056810).

Almost surely, 2^527064096 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 527064096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770726880).

527064096 is an abundant number, since it is smaller than the sum of its proper divisors (1014389664).

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

527064096 is a wasteful number, since it uses less digits than its factorization.

527064096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14618 (or 14610 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 527064096 is about 22957.8765568595. The cubic root of 527064096 is about 807.7701695767.

The spelling of 527064096 in words is "five hundred twenty-seven million, sixty-four thousand, ninety-six".