87558880 has 96 divisors (see below), whose sum is σ = 216760320. Its totient is φ = 33384960.

The previous prime is 87558871. The next prime is 87558899. The reversal of 87558880 is 8885578.

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, 629851 + ... + 629989.

It is an arithmetic number, because the mean of its divisors is an integer number (2257920).

Almost surely, 2^87558880 is an apocalyptic number.

87558880 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 87558880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108380160).

87558880 is an abundant number, since it is smaller than the sum of its proper divisors (129201440).

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

87558880 is a wasteful number, since it uses less digits than its factorization.

87558880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 49.

The square root of 87558880 is about 9357.2902060372. The cubic root of 87558880 is about 444.0515590911.

The spelling of 87558880 in words is "eighty-seven million, five hundred fifty-eight thousand, eight hundred eighty".