48819680 has 144 divisors (see below), whose sum is σ = 144789120. Its totient is φ = 15418368.

The previous prime is 48819679. The next prime is 48819691. The reversal of 48819680 is 8691884.

It is a happy number.

It is a super-2 number, since 2×48819680² = 4766722310604800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101681 + ... + 102159.

It is an arithmetic number, because the mean of its divisors is an integer number (1005480).

Almost surely, 2^48819680 is an apocalyptic number.

48819680 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 48819680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72394560).

48819680 is an abundant number, since it is smaller than the sum of its proper divisors (95969440).

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

48819680 is a wasteful number, since it uses less digits than its factorization.

48819680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 44.

The square root of 48819680 is about 6987.1081285465. The cubic root of 48819680 is about 365.4811444203.

The spelling of 48819680 in words is "forty-eight million, eight hundred nineteen thousand, six hundred eighty".