57741600 has 216 divisors, whose sum is σ = 219079728. Its totient is φ = 13171200.

The previous prime is 57741583. The next prime is 57741611. The reversal of 57741600 is 614775.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 117355 + ... + 117845.

It is an arithmetic number, because the mean of its divisors is an integer number (1014258).

Almost surely, 2^57741600 is an apocalyptic number.

57741600 is a gapful number since it is divisible by the number (50) 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 57741600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109539864).

57741600 is an abundant number, since it is smaller than the sum of its proper divisors (161338128).

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

57741600 is a wasteful number, since it uses less digits than its factorization.

57741600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 57741600 is about 7598.7893772627. The cubic root of 57741600 is about 386.5119608345.

The spelling of 57741600 in words is "fifty-seven million, seven hundred forty-one thousand, six hundred".