57795840 has 216 divisors, whose sum is σ = 208058760. Its totient is φ = 14794752.

The previous prime is 57795823. The next prime is 57795889. The reversal of 57795840 is 4859775.

It can be written as a sum of positive squares in 4 ways, for example, as 17040384 + 40755456 = 4128^2 + 6384^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 333994 + ... + 334166.

It is an arithmetic number, because the mean of its divisors is an integer number (963235).

Almost surely, 2^57795840 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 57795840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104029380).

57795840 is an abundant number, since it is smaller than the sum of its proper divisors (150262920).

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

57795840 is a wasteful number, since it uses less digits than its factorization.

57795840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 57795840 is about 7602.3575290827. The cubic root of 57795840 is about 386.6329472511.

The spelling of 57795840 in words is "fifty-seven million, seven hundred ninety-five thousand, eight hundred forty".