87536384 has 72 divisors (see below), whose sum is σ = 194874960. Its totient is φ = 38965248.

The previous prime is 87536381. The next prime is 87536411. The reversal of 87536384 is 48363578.

It is not an unprimeable number, because it can be changed into a prime (87536381) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96059 + ... + 96965.

Almost surely, 2^87536384 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 87536384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97437480).

87536384 is an abundant number, since it is smaller than the sum of its proper divisors (107338576).

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

87536384 is a wasteful number, since it uses less digits than its factorization.

87536384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 951 counting only the distinct ones).

The product of its digits is 483840, while the sum is 44.

The square root of 87536384 is about 9356.0880714110. The cubic root of 87536384 is about 444.0135266285.

The spelling of 87536384 in words is "eighty-seven million, five hundred thirty-six thousand, three hundred eighty-four".