87668496 has 120 divisors (see below), whose sum is σ = 259983360. Its totient is φ = 27532800.

The previous prime is 87668491. The next prime is 87668557. The reversal of 87668496 is 69486678.

It is not an unprimeable number, because it can be changed into a prime (87668491) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 182785 + ... + 183263.

It is an arithmetic number, because the mean of its divisors is an integer number (2166528).

Almost surely, 2^87668496 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 87668496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129991680).

87668496 is an abundant number, since it is smaller than the sum of its proper divisors (172314864).

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

87668496 is a wasteful number, since it uses less digits than its factorization.

87668496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 556 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 87668496 is about 9363.1456252693. The cubic root of 87668496 is about 444.2367862871.

The spelling of 87668496 in words is "eighty-seven million, six hundred sixty-eight thousand, four hundred ninety-six".