87768960 has 128 divisors (see below), whose sum is σ = 296330400. Its totient is φ = 22020096.

The previous prime is 87768959. The next prime is 87768983. The reversal of 87768960 is 6986778.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 31296 + ... + 33984.

Almost surely, 2^87768960 is an apocalyptic number.

87768960 is a gapful number since it is divisible by the number (80) 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 87768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148165200).

87768960 is an abundant number, since it is smaller than the sum of its proper divisors (208561440).

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

87768960 is a wasteful number, since it uses less digits than its factorization.

87768960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2728 (or 2716 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The square root of 87768960 is about 9368.5089528697. The cubic root of 87768960 is about 444.4064130420.

The spelling of 87768960 in words is "eighty-seven million, seven hundred sixty-eight thousand, nine hundred sixty".