87905440 has 48 divisors (see below), whose sum is σ = 237347712. Its totient is φ = 30138624.

The previous prime is 87905431. The next prime is 87905443. The reversal of 87905440 is 4450978.

It is a self number, because there is not a number n which added to its sum of digits gives 87905440.

It is not an unprimeable number, because it can be changed into a prime (87905443) 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, 38124 + ... + 40363.

It is an arithmetic number, because the mean of its divisors is an integer number (4944744).

Almost surely, 2^87905440 is an apocalyptic number.

87905440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87905440 is an abundant number, since it is smaller than the sum of its proper divisors (149442272).

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

87905440 is a wasteful number, since it uses less digits than its factorization.

87905440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78509 (or 78501 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 87905440 is about 9375.7901000396. The cubic root of 87905440 is about 444.6366431685.

The spelling of 87905440 in words is "eighty-seven million, nine hundred five thousand, four hundred forty".