87905520 has 80 divisors (see below), whose sum is σ = 302793120. Its totient is φ = 23440896.

The previous prime is 87905501. The next prime is 87905527. The reversal of 87905520 is 2550978.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87905527) 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, 18189 + ... + 22508.

It is an arithmetic number, because the mean of its divisors is an integer number (3784914).

Almost surely, 2^87905520 is an apocalyptic number.

87905520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87905520 is an abundant number, since it is smaller than the sum of its proper divisors (214887600).

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

87905520 is a wasteful number, since it uses less digits than its factorization.

87905520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40719 (or 40707 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 87905520 is about 9375.7943663457. The cubic root of 87905520 is about 444.6367780518.

The spelling of 87905520 in words is "eighty-seven million, nine hundred five thousand, five hundred twenty".