87032464 has 40 divisors (see below), whose sum is σ = 180191840. Its totient is φ = 40601088.

The previous prime is 87032461. The next prime is 87032489. The reversal of 87032464 is 46423078.

It is a super-2 number, since 2×87032464² = 15149299579822592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (87032461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18232 + ... + 22504.

It is an arithmetic number, because the mean of its divisors is an integer number (4504796).

Almost surely, 2^87032464 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 87032464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90095920).

87032464 is an abundant number, since it is smaller than the sum of its proper divisors (93159376).

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

87032464 is a wasteful number, since it uses less digits than its factorization.

87032464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4367 (or 4361 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 87032464 is about 9329.1191438420. The cubic root of 87032464 is about 443.1598700779.

The spelling of 87032464 in words is "eighty-seven million, thirty-two thousand, four hundred sixty-four".