87038120 has 32 divisors (see below), whose sum is σ = 210901320. Its totient is φ = 32136960.

The previous prime is 87038117. The next prime is 87038123. The reversal of 87038120 is 2183078.

It is an interprime number because it is at equal distance from previous prime (87038117) and next prime (87038123).

It can be written as a sum of positive squares in 4 ways, for example, as 79887844 + 7150276 = 8938^2 + 2674^2 .

It is not an unprimeable number, because it can be changed into a prime (87038123) 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, 83171 + ... + 84210.

Almost surely, 2^87038120 is an apocalyptic number.

It is an amenable number.

87038120 is an abundant number, since it is smaller than the sum of its proper divisors (123863200).

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

87038120 is a wasteful number, since it uses less digits than its factorization.

87038120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167405 (or 167401 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 87038120 is about 9329.4222757896. The cubic root of 87038120 is about 443.1694697828.

The spelling of 87038120 in words is "eighty-seven million, thirty-eight thousand, one hundred twenty".