87986592 has 144 divisors (see below), whose sum is σ = 268894080. Its totient is φ = 27219456.

The previous prime is 87986581. The next prime is 87986593. The reversal of 87986592 is 29568978.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (87986593) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244909 + ... + 245267.

It is an arithmetic number, because the mean of its divisors is an integer number (1867320).

Almost surely, 2^87986592 is an apocalyptic number.

87986592 is the 7659-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87986592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134447040).

87986592 is an abundant number, since it is smaller than the sum of its proper divisors (180907488).

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

87986592 is a wasteful number, since it uses less digits than its factorization.

87986592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 424 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 87986592 is about 9380.1168436219. The cubic root of 87986592 is about 444.7734267202.

The spelling of 87986592 in words is "eighty-seven million, nine hundred eighty-six thousand, five hundred ninety-two".