56131460 has 144 divisors (see below), whose sum is σ = 154441728. Its totient is φ = 16934400.

The previous prime is 56131447. The next prime is 56131463. The reversal of 56131460 is 6413165.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (56131463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 441917 + ... + 442043.

It is an arithmetic number, because the mean of its divisors is an integer number (1072512).

Almost surely, 2^56131460 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 56131460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77220864).

56131460 is an abundant number, since it is smaller than the sum of its proper divisors (98310268).

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

56131460 is a wasteful number, since it uses less digits than its factorization.

56131460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 56131460 is about 7492.0931654645. The cubic root of 56131460 is about 382.8853763297.

The spelling of 56131460 in words is "fifty-six million, one hundred thirty-one thousand, four hundred sixty".