48618720 has 144 divisors (see below), whose sum is σ = 174741840. Its totient is φ = 12275712.

The previous prime is 48618719. The next prime is 48618737. The reversal of 48618720 is 2781684.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 26472 + ... + 28248.

It is an arithmetic number, because the mean of its divisors is an integer number (1213485).

Almost surely, 2^48618720 is an apocalyptic number.

48618720 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 48618720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87370920).

48618720 is an abundant number, since it is smaller than the sum of its proper divisors (126123120).

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

48618720 is a wasteful number, since it uses less digits than its factorization.

48618720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1817 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 48618720 is about 6972.7125281342. The cubic root of 48618720 is about 364.9789692017.

The spelling of 48618720 in words is "forty-eight million, six hundred eighteen thousand, seven hundred twenty".