56346320 has 80 divisors (see below), whose sum is σ = 138419712. Its totient is φ = 21288960.

The previous prime is 56346317. The next prime is 56346331. The reversal of 56346320 is 2364365.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207785 + ... + 208055.

Almost surely, 2^56346320 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 56346320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69209856).

56346320 is an abundant number, since it is smaller than the sum of its proper divisors (82073392).

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

56346320 is a wasteful number, since it uses less digits than its factorization.

56346320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

The square root of 56346320 is about 7506.4185867829. The cubic root of 56346320 is about 383.3732905209.

The spelling of 56346320 in words is "fifty-six million, three hundred forty-six thousand, three hundred twenty".