87297664 has 32 divisors (see below), whose sum is σ = 175536900. Its totient is φ = 43241472.

The previous prime is 87297619. The next prime is 87297677. The reversal of 87297664 is 46679278.

It can be written as a sum of positive squares in 2 ways, for example, as 71233600 + 16064064 = 8440^2 + 4008^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10824 + ... + 17080.

Almost surely, 2^87297664 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 87297664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87768450).

87297664 is an abundant number, since it is smaller than the sum of its proper divisors (88239236).

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

87297664 is a wasteful number, since it uses less digits than its factorization.

87297664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6380 (or 6368 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 49.

The square root of 87297664 is about 9343.3218932027. The cubic root of 87297664 is about 443.6095368694.

The spelling of 87297664 in words is "eighty-seven million, two hundred ninety-seven thousand, six hundred sixty-four".