87966720 has 264 divisors, whose sum is σ = 321886656. Its totient is φ = 22167552.

The previous prime is 87966719. The next prime is 87966727. The reversal of 87966720 is 2766978.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (87966727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1059799 + ... + 1059881.

Almost surely, 2^87966720 is an apocalyptic number.

87966720 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 87966720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160943328).

87966720 is an abundant number, since it is smaller than the sum of its proper divisors (233919936).

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

87966720 is a wasteful number, since it uses less digits than its factorization.

87966720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 87966720 is about 9379.0575219475. The cubic root of 87966720 is about 444.7399397884.

The spelling of 87966720 in words is "eighty-seven million, nine hundred sixty-six thousand, seven hundred twenty".