87225632 has 54 divisors (see below), whose sum is σ = 187426953. Its totient is φ = 39940992.

The previous prime is 87225587. The next prime is 87225641. The reversal of 87225632 is 23652278.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 74580496 + 12645136 = 8636^2 + 3556^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=6604.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 87225592 and 87225601.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 686753 + ... + 686879.

Almost surely, 2^87225632 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 87225632

87225632 is an abundant number, since it is smaller than the sum of its proper divisors (100201321).

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

87225632 is a wasteful number, since it uses less digits than its factorization.

87225632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 142 counting only the distinct ones).

The product of its digits is 40320, while the sum is 35.

The square root of 87225632 is about 9339.4663659119. The cubic root of 87225632 is about 443.4874913167.

The spelling of 87225632 in words is "eighty-seven million, two hundred twenty-five thousand, six hundred thirty-two".