57754340 has 48 divisors (see below), whose sum is σ = 141456000. Its totient is φ = 19799136.

The previous prime is 57754339. The next prime is 57754349. The reversal of 57754340 is 4345775.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 57754340.

It is not an unprimeable number, because it can be changed into a prime (57754349) 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, 2651 + ... + 11069.

It is an arithmetic number, because the mean of its divisors is an integer number (2947000).

Almost surely, 2^57754340 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 57754340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70728000).

57754340 is an abundant number, since it is smaller than the sum of its proper divisors (83701660).

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

57754340 is a wasteful number, since it uses less digits than its factorization.

57754340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8449 (or 8433 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 35.

The square root of 57754340 is about 7599.6276224562. The cubic root of 57754340 is about 386.5403851726.

The spelling of 57754340 in words is "fifty-seven million, seven hundred fifty-four thousand, three hundred forty".