87989760 has 320 divisors, whose sum is σ = 333907200. Its totient is φ = 21897216.

The previous prime is 87989723. The next prime is 87989809. The reversal of 87989760 is 6798978.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 87989697 and 87989706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1313247 + ... + 1313313.

It is an arithmetic number, because the mean of its divisors is an integer number (1043460).

Almost surely, 2^87989760 is an apocalyptic number.

87989760 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 87989760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166953600).

87989760 is an abundant number, since it is smaller than the sum of its proper divisors (245917440).

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

87989760 is a wasteful number, since it uses less digits than its factorization.

87989760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The square root of 87989760 is about 9380.2857099344. The cubic root of 87989760 is about 444.7787647506.

The spelling of 87989760 in words is "eighty-seven million, nine hundred eighty-nine thousand, seven hundred sixty".