57601016 has 64 divisors (see below), whose sum is σ = 124416000. Its totient is φ = 24745600.

The previous prime is 57600997. The next prime is 57601031. The reversal of 57601016 is 61010675.

It is a super-3 number, since 3×57601016³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 301481 + ... + 301671.

It is an arithmetic number, because the mean of its divisors is an integer number (1944000).

Almost surely, 2^57601016 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 57601016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62208000).

57601016 is an abundant number, since it is smaller than the sum of its proper divisors (66814984).

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

57601016 is a wasteful number, since it uses less digits than its factorization.

57601016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 57601016 is about 7589.5333189861. The cubic root of 57601016 is about 386.1980245169.

It can be divided in two parts, 5760 and 1016, that added together give a palindrome (6776).

The spelling of 57601016 in words is "fifty-seven million, six hundred one thousand, sixteen".