87245632 has 84 divisors (see below), whose sum is σ = 189486540. Its totient is φ = 39829504.

The previous prime is 87245629. The next prime is 87245681. The reversal of 87245632 is 23654278.

It can be written as a sum of positive squares in 6 ways, for example, as 5089536 + 82156096 = 2256^2 + 9064^2 .

It is a super-2 number, since 2×87245632² = 15223600606158848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 87245591 and 87245600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 980244 + ... + 980332.

Almost surely, 2^87245632 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 87245632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94743270).

87245632 is an abundant number, since it is smaller than the sum of its proper divisors (102240908).

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

87245632 is a wasteful number, since it uses less digits than its factorization.

87245632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 161 counting only the distinct ones).

The product of its digits is 80640, while the sum is 37.

The square root of 87245632 is about 9340.5370295289. The cubic root of 87245632 is about 443.5213845344.

The spelling of 87245632 in words is "eighty-seven million, two hundred forty-five thousand, six hundred thirty-two".