48876960 has 96 divisors (see below), whose sum is σ = 167977152. Its totient is φ = 11847680.

The previous prime is 48876953. The next prime is 48876967. The reversal of 48876960 is 6967884.

48876960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48876953) and next prime (48876967).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48876967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 652 + ... + 9908.

It is an arithmetic number, because the mean of its divisors is an integer number (1749762).

Almost surely, 2^48876960 is an apocalyptic number.

48876960 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 48876960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83988576).

48876960 is an abundant number, since it is smaller than the sum of its proper divisors (119100192).

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

48876960 is a wasteful number, since it uses less digits than its factorization.

48876960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9286 (or 9278 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 48876960 is about 6991.2059045632. The cubic root of 48876960 is about 365.6240279030.

The spelling of 48876960 in words is "forty-eight million, eight hundred seventy-six thousand, nine hundred sixty".