57145344 has 96 divisors (see below), whose sum is σ = 155675520. Its totient is φ = 18636800.

The previous prime is 57145337. The next prime is 57145351. The reversal of 57145344 is 44354175.

It is an interprime number because it is at equal distance from previous prime (57145337) and next prime (57145351).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 436159 + ... + 436289.

It is an arithmetic number, because the mean of its divisors is an integer number (1621620).

Almost surely, 2^57145344 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 57145344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77837760).

57145344 is an abundant number, since it is smaller than the sum of its proper divisors (98530176).

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

57145344 is a wasteful number, since it uses less digits than its factorization.

57145344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 207 counting only the distinct ones).

The product of its digits is 33600, while the sum is 33.

The square root of 57145344 is about 7559.4539485336. The cubic root of 57145344 is about 385.1769445823.

The spelling of 57145344 in words is "fifty-seven million, one hundred forty-five thousand, three hundred forty-four".