87433984 has 72 divisors (see below), whose sum is σ = 193893840. Its totient is φ = 39014400.

The previous prime is 87433963. The next prime is 87433999. The reversal of 87433984 is 48933478.

It is a super-2 number, since 2×87433984² = 15289403116224512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171522 + ... + 172030.

It is an arithmetic number, because the mean of its divisors is an integer number (2692970).

Almost surely, 2^87433984 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 87433984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96946920).

87433984 is an abundant number, since it is smaller than the sum of its proper divisors (106459856).

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

87433984 is a wasteful number, since it uses less digits than its factorization.

87433984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 583 counting only the distinct ones).

The product of its digits is 580608, while the sum is 46.

The square root of 87433984 is about 9350.6140974804. The cubic root of 87433984 is about 443.8403235036.

The spelling of 87433984 in words is "eighty-seven million, four hundred thirty-three thousand, nine hundred eighty-four".