48678960 has 80 divisors (see below), whose sum is σ = 164632320. Its totient is φ = 11800320.

The previous prime is 48678923. The next prime is 48678961. The reversal of 48678960 is 6987684.

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

It is a super-2 number, since 2×48678960² = 4739282293363200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (48678961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6580 + ... + 11859.

It is an arithmetic number, because the mean of its divisors is an integer number (2057904).

Almost surely, 2^48678960 is an apocalyptic number.

48678960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48678960 is an abundant number, since it is smaller than the sum of its proper divisors (115953360).

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

48678960 is a wasteful number, since it uses less digits than its factorization.

48678960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18466 (or 18460 counting only the distinct ones).

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

The square root of 48678960 is about 6977.0308871324. The cubic root of 48678960 is about 365.1296468199.

The spelling of 48678960 in words is "forty-eight million, six hundred seventy-eight thousand, nine hundred sixty".