87978960 has 100 divisors (see below), whose sum is σ = 305586468. Its totient is φ = 23459328.

The previous prime is 87978959. The next prime is 87978967. The reversal of 87978960 is 6987978.

It can be written as a sum of positive squares in 2 ways, for example, as 63297936 + 24681024 = 7956^2 + 4968^2 .

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 = 87978897 and 87978906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87978967) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 309 + ... + 13268.

Almost surely, 2^87978960 is an apocalyptic number.

87978960 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 87978960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152793234).

87978960 is an abundant number, since it is smaller than the sum of its proper divisors (217607508).

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

87978960 is a wasteful number, since it uses less digits than its factorization.

87978960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13602 (or 13587 counting only the distinct ones).

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

The square root of 87978960 is about 9379.7100168395. The cubic root of 87978960 is about 444.7605663935.

The spelling of 87978960 in words is "eighty-seven million, nine hundred seventy-eight thousand, nine hundred sixty".