87933984 has 48 divisors (see below), whose sum is σ = 233093952. Its totient is φ = 29023488.

The previous prime is 87933983. The next prime is 87934019. The reversal of 87933984 is 48933978.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×87933984² = 15464771084224512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (87933983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5442 + ... + 14334.

It is an arithmetic number, because the mean of its divisors is an integer number (4856124).

Almost surely, 2^87933984 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 87933984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116546976).

87933984 is an abundant number, since it is smaller than the sum of its proper divisors (145159968).

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

87933984 is a wasteful number, since it uses less digits than its factorization.

87933984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9009 (or 9001 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The square root of 87933984 is about 9377.3121948669. The cubic root of 87933984 is about 444.6847643272.

The spelling of 87933984 in words is "eighty-seven million, nine hundred thirty-three thousand, nine hundred eighty-four".