87909376 has 33 divisors (see below), whose sum is σ = 176334721. Its totient is φ = 43804672.

The previous prime is 87909361. The next prime is 87909379. The reversal of 87909376 is 67390978.

The square root of 87909376 is 9376.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 83174400 + 4734976 = 9120^2 + 2176^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87909379) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 299886 + ... + 300178.

Almost surely, 2^87909376 is an apocalyptic number.

87909376 is the 9376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87909376

87909376 is an abundant number, since it is smaller than the sum of its proper divisors (88425345).

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

87909376 is an frugal number, since it uses more digits than its factorization.

87909376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 49.

The cubic root of 87909376 is about 444.6432793286.

Multiplying 87909376 by its sum of digits (49), we get a square (4307559424 = 65632²).

Multiplying 87909376 by its product of nonzero digits (571536), we get a square (50243373121536 = 7088256²).

The spelling of 87909376 in words is "eighty-seven million, nine hundred nine thousand, three hundred seventy-six".