48591360 has 320 divisors, whose sum is σ = 186595200. Its totient is φ = 11943936.

The previous prime is 48591349. The next prime is 48591391. The reversal of 48591360 is 6319584.

48591360 is a `hidden beast` number, since 4 + 8 + 591 + 3 + 60 = 666.

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

It is a super-2 number, since 2×48591360² = 4722240533299200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1313262 + ... + 1313298.

It is an arithmetic number, because the mean of its divisors is an integer number (583110).

Almost surely, 2^48591360 is an apocalyptic number.

48591360 is a gapful number since it is divisible by the number (40) 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 48591360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93297600).

48591360 is an abundant number, since it is smaller than the sum of its proper divisors (138003840).

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

48591360 is a wasteful number, since it uses less digits than its factorization.

48591360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 48591360 is about 6970.7503182943. The cubic root of 48591360 is about 364.9104928457.

Subtracting from 48591360 its product of nonzero digits (25920), we obtain a triangular number (48565440 = T₉₈₅₅).

The spelling of 48591360 in words is "forty-eight million, five hundred ninety-one thousand, three hundred sixty".