87992520 has 256 divisors, whose sum is σ = 335923200. Its totient is φ = 17909760.

The previous prime is 87992479. The next prime is 87992551. The reversal of 87992520 is 2529978.

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

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 63 ways as a sum of consecutive naturals, for example, 822307 + ... + 822413.

It is an arithmetic number, because the mean of its divisors is an integer number (1312200).

Almost surely, 2^87992520 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 87992520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167961600).

87992520 is an abundant number, since it is smaller than the sum of its proper divisors (247930680).

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

87992520 is a wasteful number, since it uses less digits than its factorization.

87992520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 87992520 is about 9380.4328258349. The cubic root of 87992520 is about 444.7834152029.

The spelling of 87992520 in words is "eighty-seven million, nine hundred ninety-two thousand, five hundred twenty".