57096144 has 160 divisors (see below), whose sum is σ = 190464000. Its totient is φ = 16039296.

The previous prime is 57096133. The next prime is 57096181. The reversal of 57096144 is 44169075.

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

It is a junction number, because it is equal to n+sod(n) for n = 57096099 and 57096108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 238777 + ... + 239015.

It is an arithmetic number, because the mean of its divisors is an integer number (1190400).

Almost surely, 2^57096144 is an apocalyptic number.

57096144 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 57096144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95232000).

57096144 is an abundant number, since it is smaller than the sum of its proper divisors (133367856).

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

57096144 is a wasteful number, since it uses less digits than its factorization.

57096144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 330 counting only the distinct ones).

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

The square root of 57096144 is about 7556.1990444932. The cubic root of 57096144 is about 385.0663718709.

The spelling of 57096144 in words is "fifty-seven million, ninety-six thousand, one hundred forty-four".