87526032 has 80 divisors (see below), whose sum is σ = 251983872. Its totient is φ = 25951360.

The previous prime is 87526009. The next prime is 87526037. The reversal of 87526032 is 23062578.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 87525984 and 87526002.

It is not an unprimeable number, because it can be changed into a prime (87526037) 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, 23053 + ... + 26579.

Almost surely, 2^87526032 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 87526032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125991936).

87526032 is an abundant number, since it is smaller than the sum of its proper divisors (164457840).

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

87526032 is a wasteful number, since it uses less digits than its factorization.

87526032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3596 (or 3590 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 87526032 is about 9355.5348323867. The cubic root of 87526032 is about 443.9960230145.

The spelling of 87526032 in words is "eighty-seven million, five hundred twenty-six thousand, thirty-two".