56760144 has 160 divisors (see below), whose sum is σ = 187130880. Its totient is φ = 14432256.

The previous prime is 56760133. The next prime is 56760199. The reversal of 56760144 is 44106765.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108267 + ... + 108789.

It is an arithmetic number, because the mean of its divisors is an integer number (1169568).

Almost surely, 2^56760144 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 56760144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93565440).

56760144 is an abundant number, since it is smaller than the sum of its proper divisors (130370736).

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

56760144 is a wasteful number, since it uses less digits than its factorization.

56760144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 56760144 is about 7533.9328375026. The cubic root of 56760144 is about 384.3095377447.

It can be divided in two parts, 567601 and 44, that added together give a triangular number (567645 = T₁₀₆₅).

The spelling of 56760144 in words is "fifty-six million, seven hundred sixty thousand, one hundred forty-four".