48600960 has 128 divisors (see below), whose sum is σ = 164138400. Its totient is φ = 12189696.

The previous prime is 48600953. The next prime is 48600967. The reversal of 48600960 is 6900684.

It is an interprime number because it is at equal distance from previous prime (48600953) and next prime (48600967).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48600967) 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, 31896 + ... + 33384.

Almost surely, 2^48600960 is an apocalyptic number.

48600960 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 48600960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82069200).

48600960 is an abundant number, since it is smaller than the sum of its proper divisors (115537440).

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

48600960 is a wasteful number, since it uses less digits than its factorization.

48600960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1528 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 48600960 is about 6971.4388758706. The cubic root of 48600960 is about 364.9345225638.

It can be divided in two parts, 48600 and 960, that multiplied together give a cube (46656000 = 360³).

The spelling of 48600960 in words is "forty-eight million, six hundred thousand, nine hundred sixty".