87646720 has 160 divisors (see below), whose sum is σ = 247091328. Its totient is φ = 29196288.

The previous prime is 87646697. The next prime is 87646733. The reversal of 87646720 is 2764678.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1200604 + ... + 1200676.

Almost surely, 2^87646720 is an apocalyptic number.

87646720 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 87646720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123545664).

87646720 is an abundant number, since it is smaller than the sum of its proper divisors (159444608).

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

87646720 is an equidigital number, since it uses as much as digits as its factorization.

87646720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The square root of 87646720 is about 9361.9826959891. The cubic root of 87646720 is about 444.2000018786.

The spelling of 87646720 in words is "eighty-seven million, six hundred forty-six thousand, seven hundred twenty".