57545376 has 96 divisors (see below), whose sum is σ = 181762560. Its totient is φ = 15572736.

The previous prime is 57545359. The next prime is 57545377. The reversal of 57545376 is 67354575.

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

It is a super-2 number, since 2×57545376² = 6622940597962752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (57545377) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 10515 + ... + 15021.

It is an arithmetic number, because the mean of its divisors is an integer number (1893360).

Almost surely, 2^57545376 is an apocalyptic number.

57545376 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 57545376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90881280).

57545376 is an abundant number, since it is smaller than the sum of its proper divisors (124217184).

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

57545376 is a wasteful number, since it uses less digits than its factorization.

57545376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4546 (or 4538 counting only the distinct ones).

The product of its digits is 441000, while the sum is 42.

The square root of 57545376 is about 7585.8668588369. The cubic root of 57545376 is about 386.0736344620.

The spelling of 57545376 in words is "fifty-seven million, five hundred forty-five thousand, three hundred seventy-six".