48612960 has 360 divisors, whose sum is σ = 194660928. Its totient is φ = 11404800.

The previous prime is 48612959. The next prime is 48612973. The reversal of 48612960 is 6921684.

It is a tau number, because it is divible by the number of its divisors (360).

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 59 ways as a sum of consecutive naturals, for example, 1568145 + ... + 1568175.

Almost surely, 2^48612960 is an apocalyptic number.

48612960 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 48612960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97330464).

48612960 is an abundant number, since it is smaller than the sum of its proper divisors (146047968).

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

48612960 is a wasteful number, since it uses less digits than its factorization.

48612960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 48612960 is about 6972.2994772170. The cubic root of 48612960 is about 364.9645552621.

The spelling of 48612960 in words is "forty-eight million, six hundred twelve thousand, nine hundred sixty".