87638490 has 32 divisors (see below), whose sum is σ = 233703360. Its totient is φ = 23370192.

The previous prime is 87638449. The next prime is 87638491. The reversal of 87638490 is 9483678.

It is a happy number.

87638490 is a `hidden beast` number, since 8 + 7 + 638 + 4 + 9 + 0 = 666.

It is a Smith number, since the sum of its digits (45) 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 (45).

It is not an unprimeable number, because it can be changed into a prime (87638491) by changing a digit.

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, 162024 + ... + 162563.

It is an arithmetic number, because the mean of its divisors is an integer number (7303230).

Almost surely, 2^87638490 is an apocalyptic number.

87638490 is an abundant number, since it is smaller than the sum of its proper divisors (146064870).

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

87638490 is a wasteful number, since it uses less digits than its factorization.

87638490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324603 (or 324597 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 87638490 is about 9361.5431420253. The cubic root of 87638490 is about 444.1860980289.

The spelling of 87638490 in words is "eighty-seven million, six hundred thirty-eight thousand, four hundred ninety".