87076992 has 64 divisors (see below), whose sum is σ = 244922400. Its totient is φ = 27316224.

The previous prime is 87076991. The next prime is 87077051. The reversal of 87076992 is 29967078.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87076991) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142 + ... + 13197.

Almost surely, 2^87076992 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 87076992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122461200).

87076992 is an abundant number, since it is smaller than the sum of its proper divisors (157845408).

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

87076992 is a wasteful number, since it uses less digits than its factorization.

87076992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13373 (or 13361 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The square root of 87076992 is about 9331.5053447983. The cubic root of 87076992 is about 443.2354344418.

The spelling of 87076992 in words is "eighty-seven million, seventy-six thousand, nine hundred ninety-two".