87715440 has 80 divisors (see below), whose sum is σ = 302138400. Its totient is φ = 23390208.

The previous prime is 87715421. The next prime is 87715469. The reversal of 87715440 is 4451778.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 87715395 and 87715404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18145 + ... + 22464.

It is an arithmetic number, because the mean of its divisors is an integer number (3776730).

Almost surely, 2^87715440 is an apocalyptic number.

87715440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87715440 is an abundant number, since it is smaller than the sum of its proper divisors (214422960).

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

87715440 is a wasteful number, since it uses less digits than its factorization.

87715440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40631 (or 40619 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 87715440 is about 9365.6521396003. The cubic root of 87715440 is about 444.3160642165.

The spelling of 87715440 in words is "eighty-seven million, seven hundred fifteen thousand, four hundred forty".