87814920 has 64 divisors (see below), whose sum is σ = 274907520. Its totient is φ = 22398464.

The previous prime is 87814891. The next prime is 87814921. The reversal of 87814920 is 2941878.

It is a super-2 number, since 2×87814920² = 15422920349212800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (87814921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13149 + ... + 18668.

It is an arithmetic number, because the mean of its divisors is an integer number (4295430).

Almost surely, 2^87814920 is an apocalyptic number.

It is an amenable number.

87814920 is an abundant number, since it is smaller than the sum of its proper divisors (187092600).

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

87814920 is a wasteful number, since it uses less digits than its factorization.

87814920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31854 (or 31850 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 87814920 is about 9370.9615301739. The cubic root of 87814920 is about 444.4839702810.

The spelling of 87814920 in words is "eighty-seven million, eight hundred fourteen thousand, nine hundred twenty".