87715840 has 52 divisors (see below), whose sum is σ = 210541464. Its totient is φ = 35078144.

The previous prime is 87715787. The next prime is 87715883. The reversal of 87715840 is 4851778.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 87715793 and 87715802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18339 + ... + 22621.

Almost surely, 2^87715840 is an apocalyptic number.

87715840 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 87715840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105270732).

87715840 is an abundant number, since it is smaller than the sum of its proper divisors (122825624).

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

87715840 is an equidigital number, since it uses as much as digits as its factorization.

87715840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4312 (or 4290 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 40.

The square root of 87715840 is about 9365.6734942021. The cubic root of 87715840 is about 444.3167396056.

The spelling of 87715840 in words is "eighty-seven million, seven hundred fifteen thousand, eight hundred forty".