57689016 has 256 divisors, whose sum is σ = 199065600. Its totient is φ = 13478400.

The previous prime is 57689011. The next prime is 57689017. The reversal of 57689016 is 61098675.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57689011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1088446 + ... + 1088498.

It is an arithmetic number, because the mean of its divisors is an integer number (777600).

Almost surely, 2^57689016 is an apocalyptic number.

57689016 is a gapful number since it is divisible by the number (56) 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 57689016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99532800).

57689016 is an abundant number, since it is smaller than the sum of its proper divisors (141376584).

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

57689016 is a wasteful number, since it uses less digits than its factorization.

57689016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 57689016 is about 7595.3285643216. The cubic root of 57689016 is about 386.3945958977.

The spelling of 57689016 in words is "fifty-seven million, six hundred eighty-nine thousand, sixteen".