56361760 has 192 divisors, whose sum is σ = 169344000. Its totient is φ = 17611776.

The previous prime is 56361727. The next prime is 56361769. The reversal of 56361760 is 6716365.

It is a happy number.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56361769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 713401 + ... + 713479.

It is an arithmetic number, because the mean of its divisors is an integer number (882000).

Almost surely, 2^56361760 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 56361760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84672000).

56361760 is an abundant number, since it is smaller than the sum of its proper divisors (112982240).

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

56361760 is a wasteful number, since it uses less digits than its factorization.

56361760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 34.

The square root of 56361760 is about 7507.4469695097. The cubic root of 56361760 is about 383.4083045970.

It can be divided in two parts, 56361 and 760, that added together give a square (57121 = 239²).

The spelling of 56361760 in words is "fifty-six million, three hundred sixty-one thousand, seven hundred sixty".