48811680 has 96 divisors (see below), whose sum is σ = 170856000. Its totient is φ = 13015296.

The previous prime is 48811673. The next prime is 48811691. The reversal of 48811680 is 8611884.

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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1330 + ... + 9969.

It is an arithmetic number, because the mean of its divisors is an integer number (1779750).

Almost surely, 2^48811680 is an apocalyptic number.

48811680 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 48811680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85428000).

48811680 is an abundant number, since it is smaller than the sum of its proper divisors (122044320).

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

48811680 is a wasteful number, since it uses less digits than its factorization.

48811680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11323 (or 11309 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 48811680 is about 6986.5356221807. The cubic root of 48811680 is about 365.4611797333.

It can be divided in two parts, 4881 and 1680, that added together give a 8-th power (6561 = 3⁸).

The spelling of 48811680 in words is "forty-eight million, eight hundred eleven thousand, six hundred eighty".