87768576 has 160 divisors (see below), whose sum is σ = 297242880. Its totient is φ = 25049088.

The previous prime is 87768539. The next prime is 87768589. The reversal of 87768576 is 67586778.

87768576 is a `hidden beast` number, since 8 + 7 + 7 + 68 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 96315 + ... + 97221.

It is an arithmetic number, because the mean of its divisors is an integer number (1857768).

Almost surely, 2^87768576 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 87768576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148621440).

87768576 is an abundant number, since it is smaller than the sum of its proper divisors (209474304).

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

87768576 is an equidigital number, since it uses as much as digits as its factorization.

87768576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 919 counting only the distinct ones).

The product of its digits is 3951360, while the sum is 54.

The square root of 87768576 is about 9368.4884586576. The cubic root of 87768576 is about 444.4057649302.

The spelling of 87768576 in words is "eighty-seven million, seven hundred sixty-eight thousand, five hundred seventy-six".