57537340 has 48 divisors (see below), whose sum is σ = 139349952. Its totient is φ = 19547136.

The previous prime is 57537313. The next prime is 57537341. The reversal of 57537340 is 4373575.

It is a junction number, because it is equal to n+sod(n) for n = 57537296 and 57537305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57537341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14002 + ... + 17638.

It is an arithmetic number, because the mean of its divisors is an integer number (2903124).

Almost surely, 2^57537340 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 57537340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69674976).

57537340 is an abundant number, since it is smaller than the sum of its proper divisors (81812612).

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

57537340 is a wasteful number, since it uses less digits than its factorization.

57537340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3766 (or 3764 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 34.

The square root of 57537340 is about 7585.3371711480. The cubic root of 57537340 is about 386.0556623712.

The spelling of 57537340 in words is "fifty-seven million, five hundred thirty-seven thousand, three hundred forty".