57289760 has 96 divisors (see below), whose sum is σ = 151284672. Its totient is φ = 20321280.

The previous prime is 57289759. The next prime is 57289763. The reversal of 57289760 is 6798275.

It is a Cunningham number, because it is equal to 87⁴-1.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57289763) 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, 75302 + ... + 76058.

It is an arithmetic number, because the mean of its divisors is an integer number (1575882).

Almost surely, 2^57289760 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 57289760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75642336).

57289760 is an abundant number, since it is smaller than the sum of its proper divisors (93994912).

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

57289760 is a wasteful number, since it uses less digits than its factorization.

57289760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 44.

The square root of 57289760 is about 7568.9999339411. Note that the first 4 decimals coincide. The cubic root of 57289760 is about 385.5011408444.

The spelling of 57289760 in words is "fifty-seven million, two hundred eighty-nine thousand, seven hundred sixty".