57009744 has 240 divisors, whose sum is σ = 190654464. Its totient is φ = 16329600.

The previous prime is 57009703. The next prime is 57009749. The reversal of 57009744 is 44790075.

It is a happy number.

57009744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×57009744² = 6500221821891072, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 57009699 and 57009708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57009749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1325787 + ... + 1325829.

Almost surely, 2^57009744 is an apocalyptic number.

57009744 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 57009744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95327232).

57009744 is an abundant number, since it is smaller than the sum of its proper divisors (133644720).

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

57009744 is a wasteful number, since it uses less digits than its factorization.

57009744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 57009744 is about 7550.4797198589. The cubic root of 57009744 is about 384.8720415829.

The spelling of 57009744 in words is "fifty-seven million, nine thousand, seven hundred forty-four".