526090032 has 160 divisors (see below), whose sum is σ = 1642603200. Its totient is φ = 160247808.

The previous prime is 526090027. The next prime is 526090039. The reversal of 526090032 is 230090625.

526090032 is a `hidden beast` number, since 52 + 609 + 0 + 0 + 3 + 2 = 666.

It is a super-2 number, since 2×526090032² = 553541443539522048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 526089978 and 526090005.

It is not an unprimeable number, because it can be changed into a prime (526090039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 634194 + ... + 635022.

It is an arithmetic number, because the mean of its divisors is an integer number (10266270).

Almost surely, 2^526090032 is an apocalyptic number.

526090032 is a gapful number since it is divisible by the number (52) 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 526090032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821301600).

526090032 is an abundant number, since it is smaller than the sum of its proper divisors (1116513168).

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

526090032 is a wasteful number, since it uses less digits than its factorization.

526090032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 526090032 is about 22936.6525892511. The cubic root of 526090032 is about 807.2722509792.

The spelling of 526090032 in words is "five hundred twenty-six million, ninety thousand, thirty-two".