56270144 has 112 divisors (see below), whose sum is σ = 137330688. Its totient is φ = 22353408.

The previous prime is 56270143. The next prime is 56270183. The reversal of 56270144 is 44107265.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56270143) 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, 443009 + ... + 443135.

Almost surely, 2^56270144 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 56270144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68665344).

56270144 is an abundant number, since it is smaller than the sum of its proper divisors (81060544).

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

56270144 is a wasteful number, since it uses less digits than its factorization.

56270144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 56270144 is about 7501.3428131235. The cubic root of 56270144 is about 383.2004486261.

The spelling of 56270144 in words is "fifty-six million, two hundred seventy thousand, one hundred forty-four".