92987520 has 128 divisors (see below), whose sum is σ = 312120000. Its totient is φ = 23482368.

The previous prime is 92987519. The next prime is 92987527. The reversal of 92987520 is 2578929.

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

It is not an unprimeable number, because it can be changed into a prime (92987527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35206 + ... + 37754.

Almost surely, 2^92987520 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 92987520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156060000).

92987520 is an abundant number, since it is smaller than the sum of its proper divisors (219132480).

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

92987520 is a wasteful number, since it uses less digits than its factorization.

92987520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2590 (or 2578 counting only the distinct ones).

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

The square root of 92987520 is about 9643.0036814262. The cubic root of 92987520 is about 453.0452225465.

The spelling of 92987520 in words is "ninety-two million, nine hundred eighty-seven thousand, five hundred twenty".