56748120 has 128 divisors (see below), whose sum is σ = 200067840. Its totient is φ = 12695040.

The previous prime is 56748119. The next prime is 56748137. The reversal of 56748120 is 2184765.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15507 + ... + 18813.

It is an arithmetic number, because the mean of its divisors is an integer number (1563030).

Almost surely, 2^56748120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56748120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100033920).

56748120 is an abundant number, since it is smaller than the sum of its proper divisors (143319720).

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

56748120 is a wasteful number, since it uses less digits than its factorization.

56748120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3345 (or 3341 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 56748120 is about 7533.1348056437. The cubic root of 56748120 is about 384.2823986063.

The spelling of 56748120 in words is "fifty-six million, seven hundred forty-eight thousand, one hundred twenty".