87113680 has 40 divisors (see below), whose sum is σ = 209529000. Its totient is φ = 33643008.

The previous prime is 87113639. The next prime is 87113681. The reversal of 87113680 is 8631178.

It can be written as a sum of positive squares in 4 ways, for example, as 4376464 + 82737216 = 2092^2 + 9096^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87113681) 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, 16455 + ... + 21094.

It is an arithmetic number, because the mean of its divisors is an integer number (5238225).

Almost surely, 2^87113680 is an apocalyptic number.

87113680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87113680 is an abundant number, since it is smaller than the sum of its proper divisors (122415320).

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

87113680 is a wasteful number, since it uses less digits than its factorization.

87113680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37591 (or 37585 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 87113680 is about 9333.4709513664. The cubic root of 87113680 is about 443.2976749104.

The spelling of 87113680 in words is "eighty-seven million, one hundred thirteen thousand, six hundred eighty".