57069760 has 112 divisors (see below), whose sum is σ = 153326592. Its totient is φ = 20044800.

The previous prime is 57069751. The next prime is 57069769. The reversal of 57069760 is 6796075.

It is an interprime number because it is at equal distance from previous prime (57069751) and next prime (57069769).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57069769) 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, 108859 + ... + 109381.

Almost surely, 2^57069760 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 57069760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76663296).

57069760 is an abundant number, since it is smaller than the sum of its proper divisors (96256832).

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

57069760 is a wasteful number, since it uses less digits than its factorization.

57069760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 40.

The square root of 57069760 is about 7554.4529914482. The cubic root of 57069760 is about 385.0070499637.

The spelling of 57069760 in words is "fifty-seven million, sixty-nine thousand, seven hundred sixty".