87086440 has 128 divisors (see below), whose sum is σ = 235929600. Its totient is φ = 28304640.

The previous prime is 87086429. The next prime is 87086453. The reversal of 87086440 is 4468078.

It is a self number, because there is not a number n which added to its sum of digits gives 87086440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 685657 + ... + 685783.

It is an arithmetic number, because the mean of its divisors is an integer number (1843200).

Almost surely, 2^87086440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87086440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117964800).

87086440 is an abundant number, since it is smaller than the sum of its proper divisors (148843160).

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

87086440 is a wasteful number, since it uses less digits than its factorization.

87086440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 87086440 is about 9332.0115730747. The cubic root of 87086440 is about 443.2514644586.

The spelling of 87086440 in words is "eighty-seven million, eighty-six thousand, four hundred forty".