48618960 has 80 divisors (see below), whose sum is σ = 162322944. Its totient is φ = 11966976.

The previous prime is 48618959. The next prime is 48618961. The reversal of 48618960 is 6981684.

It is an interprime number because it is at equal distance from previous prime (48618959) and next prime (48618961).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48618961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4672 + ... + 10911.

Almost surely, 2^48618960 is an apocalyptic number.

48618960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48618960 is an abundant number, since it is smaller than the sum of its proper divisors (113703984).

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

48618960 is a wasteful number, since it uses less digits than its factorization.

48618960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15612 (or 15606 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 48618960 is about 6972.7297380581. The cubic root of 48618960 is about 364.9795697578.

The spelling of 48618960 in words is "forty-eight million, six hundred eighteen thousand, nine hundred sixty".