57040256 has 128 divisors (see below), whose sum is σ = 143942400. Its totient is φ = 21915648.

The previous prime is 57040201. The next prime is 57040289. The reversal of 57040256 is 65204075.

It is a tau number, because it is divible by the number of its divisors (128).

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, 687191 + ... + 687273.

It is an arithmetic number, because the mean of its divisors is an integer number (1124550).

Almost surely, 2^57040256 is an apocalyptic number.

57040256 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is a pronic number, being equal to 7552×7553.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57040256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71971200).

57040256 is an abundant number, since it is smaller than the sum of its proper divisors (86902144).

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

57040256 is a wasteful number, since it uses less digits than its factorization.

57040256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 29.

The square root of 57040256 is about 7552.4999834492. The cubic root of 57040256 is about 384.9406913757.

The spelling of 57040256 in words is "fifty-seven million, forty thousand, two hundred fifty-six".