87128664 has 96 divisors (see below), whose sum is σ = 259427520. Its totient is φ = 24300864.

The previous prime is 87128659. The next prime is 87128687. The reversal of 87128664 is 46682178.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 49707 + ... + 51429.

It is an arithmetic number, because the mean of its divisors is an integer number (2702370).

Almost surely, 2^87128664 is an apocalyptic number.

87128664 is a gapful number since it is divisible by the number (84) 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 87128664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129713760).

87128664 is an abundant number, since it is smaller than the sum of its proper divisors (172298856).

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

87128664 is a wasteful number, since it uses less digits than its factorization.

87128664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789 (or 1778 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 87128664 is about 9334.2736193021. The cubic root of 87128664 is about 443.3230899449.

The spelling of 87128664 in words is "eighty-seven million, one hundred twenty-eight thousand, six hundred sixty-four".