87638120 has 32 divisors (see below), whose sum is σ = 197505000. Its totient is φ = 34998528.

The previous prime is 87638113. The next prime is 87638129. The reversal of 87638120 is 2183678.

It can be written as a sum of positive squares in 4 ways, for example, as 52330756 + 35307364 = 7234^2 + 5942^2 .

It is not an unprimeable number, because it can be changed into a prime (87638129) 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, 30506 + ... + 33254.

Almost surely, 2^87638120 is an apocalyptic number.

It is an amenable number.

87638120 is an abundant number, since it is smaller than the sum of its proper divisors (109866880).

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

87638120 is a wasteful number, since it uses less digits than its factorization.

87638120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3557 (or 3553 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 87638120 is about 9361.5233803052. The cubic root of 87638120 is about 444.1854729265.

The spelling of 87638120 in words is "eighty-seven million, six hundred thirty-eight thousand, one hundred twenty".