87408640 has 120 divisors (see below), whose sum is σ = 231203952. Its totient is φ = 31457280.

The previous prime is 87408631. The next prime is 87408647. The reversal of 87408640 is 4680478.

It is a self number, because there is not a number n which added to its sum of digits gives 87408640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87408647) 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, 901072 + ... + 901168.

Almost surely, 2^87408640 is an apocalyptic number.

87408640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87408640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115601976).

87408640 is an abundant number, since it is smaller than the sum of its proper divisors (143795312).

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

87408640 is an equidigital number, since it uses as much as digits as its factorization.

87408640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 115 counting only the distinct ones).

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

The square root of 87408640 is about 9349.2587941505. The cubic root of 87408640 is about 443.7974348552.

The spelling of 87408640 in words is "eighty-seven million, four hundred eight thousand, six hundred forty".