87774960 has 160 divisors (see below), whose sum is σ = 334978560. Its totient is φ = 18514944.

The previous prime is 87774917. The next prime is 87774983. The reversal of 87774960 is 6947778.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 19831 + ... + 23849.

It is an arithmetic number, because the mean of its divisors is an integer number (2093616).

Almost surely, 2^87774960 is an apocalyptic number.

87774960 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 87774960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167489280).

87774960 is an abundant number, since it is smaller than the sum of its proper divisors (247203600).

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

87774960 is a wasteful number, since it uses less digits than its factorization.

87774960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4055 (or 4049 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 48.

The square root of 87774960 is about 9368.8291691118. The cubic root of 87774960 is about 444.4165395443.

The spelling of 87774960 in words is "eighty-seven million, seven hundred seventy-four thousand, nine hundred sixty".