48120864 has 48 divisors (see below), whose sum is σ = 137803680. Its totient is φ = 14581760.

The previous prime is 48120859. The next prime is 48120869. The reversal of 48120864 is 46802184.

It is an interprime number because it is at equal distance from previous prime (48120859) and next prime (48120869).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (48120869) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21729 + ... + 23840.

It is an arithmetic number, because the mean of its divisors is an integer number (2870910).

Almost surely, 2^48120864 is an apocalyptic number.

48120864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

48120864 is an abundant number, since it is smaller than the sum of its proper divisors (89682816).

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

48120864 is a wasteful number, since it uses less digits than its factorization.

48120864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45593 (or 45585 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 48120864 is about 6936.9203541629. The cubic root of 48120864 is about 363.7288968756.

It can be divided in two parts, 48120 and 864, that added together give a palindrome (48984).

The spelling of 48120864 in words is "forty-eight million, one hundred twenty thousand, eight hundred sixty-four".