57045296 has 80 divisors (see below), whose sum is σ = 145109760. Its totient is φ = 21047040.

The previous prime is 57045269. The next prime is 57045299. The reversal of 57045296 is 69254075.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (57045299) 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, 22190 + ... + 24626.

It is an arithmetic number, because the mean of its divisors is an integer number (1813872).

Almost surely, 2^57045296 is an apocalyptic number.

57045296 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57045296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72554880).

57045296 is an abundant number, since it is smaller than the sum of its proper divisors (88064464).

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

57045296 is a wasteful number, since it uses less digits than its factorization.

57045296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2482 (or 2476 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 38.

The square root of 57045296 is about 7552.8336404293. The cubic root of 57045296 is about 384.9520286550.

The spelling of 57045296 in words is "fifty-seven million, forty-five thousand, two hundred ninety-six".