87913440 has 72 divisors (see below), whose sum is σ = 300009528. Its totient is φ = 23443200.

The previous prime is 87913439. The next prime is 87913459. The reversal of 87913440 is 4431978.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 87913395 and 87913404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29086 + ... + 31965.

It is an arithmetic number, because the mean of its divisors is an integer number (4166799).

Almost surely, 2^87913440 is an apocalyptic number.

87913440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87913440 is an abundant number, since it is smaller than the sum of its proper divisors (212096088).

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

87913440 is a wasteful number, since it uses less digits than its factorization.

87913440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61072 (or 61061 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 87913440 is about 9376.2167210448. The cubic root of 87913440 is about 444.6501310909.

The spelling of 87913440 in words is "eighty-seven million, nine hundred thirteen thousand, four hundred forty".