87424064 has 112 divisors (see below), whose sum is σ = 226332288. Its totient is φ = 32514048.

The previous prime is 87424033. The next prime is 87424091. The reversal of 87424064 is 46042478.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98567 + ... + 99449.

It is an arithmetic number, because the mean of its divisors is an integer number (2020824).

Almost surely, 2^87424064 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 87424064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113166144).

87424064 is an abundant number, since it is smaller than the sum of its proper divisors (138908224).

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

87424064 is a wasteful number, since it uses less digits than its factorization.

87424064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 35.

The square root of 87424064 is about 9350.0836359896. The cubic root of 87424064 is about 443.8235372674.

The spelling of 87424064 in words is "eighty-seven million, four hundred twenty-four thousand, sixty-four".