57106944 has 180 divisors, whose sum is σ = 181212174. Its totient is φ = 17915904.

The previous prime is 57106909. The next prime is 57106949. The reversal of 57106944 is 44960175.

It can be written as a sum of positive squares in only one way, i.e., 41990400 + 15116544 = 6480^2 + 3888^2 .

It is a super-2 number, since 2×57106944² = 6522406106038272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 57106899 and 57106908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57106949) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3359224 + ... + 3359240.

Almost surely, 2^57106944 is an apocalyptic number.

57106944 is a gapful number since it is divisible by the number (54) 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 57106944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90606087).

57106944 is an abundant number, since it is smaller than the sum of its proper divisors (124105230).

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

57106944 is an frugal number, since it uses more digits than its factorization.

57106944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 57106944 is about 7556.9136557195. The cubic root of 57106944 is about 385.0906493692.

The spelling of 57106944 in words is "fifty-seven million, one hundred six thousand, nine hundred forty-four".