56348160 has 320 divisors, whose sum is σ = 212129280. Its totient is φ = 12615680.

The previous prime is 56348147. The next prime is 56348161. The reversal of 56348160 is 6184365.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56348161) 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, 1943026 + ... + 1943054.

It is an arithmetic number, because the mean of its divisors is an integer number (662904).

Almost surely, 2^56348160 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 56348160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106064640).

56348160 is an abundant number, since it is smaller than the sum of its proper divisors (155781120).

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

56348160 is a wasteful number, since it uses less digits than its factorization.

56348160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 56348160 is about 7506.5411475592. The cubic root of 56348160 is about 383.3774635185.

The spelling of 56348160 in words is "fifty-six million, three hundred forty-eight thousand, one hundred sixty".