87657876 has 84 divisors (see below), whose sum is σ = 240180192. Its totient is φ = 27927504.

The previous prime is 87657851. The next prime is 87657883. The reversal of 87657876 is 67875678.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 66415 + ... + 67721.

It is an arithmetic number, because the mean of its divisors is an integer number (2859288).

Almost surely, 2^87657876 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 87657876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120090096).

87657876 is an abundant number, since it is smaller than the sum of its proper divisors (152522316).

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

87657876 is a wasteful number, since it uses less digits than its factorization.

87657876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1335 counting only the distinct ones).

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

The square root of 87657876 is about 9362.5784909927. The cubic root of 87657876 is about 444.2188475543.

It can be divided in two parts, 8765 and 7876, that added together give a square (16641 = 129²).

The spelling of 87657876 in words is "eighty-seven million, six hundred fifty-seven thousand, eight hundred seventy-six".