87338016 has 36 divisors (see below), whose sum is σ = 248368302. Its totient is φ = 29112576.

The previous prime is 87337979. The next prime is 87338021. The reversal of 87338016 is 61083378.

It can be written as a sum of positive squares in only one way, i.e., 84713616 + 2624400 = 9204^2 + 1620^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 151341 + ... + 151916.

Almost surely, 2^87338016 is an apocalyptic number.

It is an amenable number.

87338016 is an abundant number, since it is smaller than the sum of its proper divisors (161030286).

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

87338016 is a wasteful number, since it uses less digits than its factorization.

87338016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303273 (or 303262 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 87338016 is about 9345.4810470088. The cubic root of 87338016 is about 443.6778768984.

The spelling of 87338016 in words is "eighty-seven million, three hundred thirty-eight thousand, sixteen".