87995760 has 80 divisors (see below), whose sum is σ = 275030016. Its totient is φ = 23272704.

The previous prime is 87995753. The next prime is 87995771. The reversal of 87995760 is 6759978.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

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, 29037 + ... + 31923.

Almost surely, 2^87995760 is an apocalyptic number.

87995760 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 87995760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137515008).

87995760 is an abundant number, since it is smaller than the sum of its proper divisors (187034256).

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

87995760 is a wasteful number, since it uses less digits than its factorization.

87995760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3030 (or 3024 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 51.

The square root of 87995760 is about 9380.6055241653. The cubic root of 87995760 is about 444.7888743055.

The spelling of 87995760 in words is "eighty-seven million, nine hundred ninety-five thousand, seven hundred sixty".