56735120 has 80 divisors (see below), whose sum is σ = 150459120. Its totient is φ = 19709952.

The previous prime is 56735111. The next prime is 56735123. The reversal of 56735120 is 2153765.

It can be written as a sum of positive squares in 8 ways, for example, as 425104 + 56310016 = 652^2 + 7504^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56735123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16076 + ... + 19284.

It is an arithmetic number, because the mean of its divisors is an integer number (1880739).

Almost surely, 2^56735120 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 56735120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75229560).

56735120 is an abundant number, since it is smaller than the sum of its proper divisors (93724000).

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

56735120 is a wasteful number, since it uses less digits than its factorization.

56735120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3252 (or 3246 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 29.

The square root of 56735120 is about 7532.2719016244. The cubic root of 56735120 is about 384.2530522438.

Adding to 56735120 its reverse (2153765), we get a palindrome (58888885).

The spelling of 56735120 in words is "fifty-six million, seven hundred thirty-five thousand, one hundred twenty".