57485736 has 96 divisors (see below), whose sum is σ = 194126400. Its totient is φ = 14929920.

The previous prime is 57485719. The next prime is 57485737. The reversal of 57485736 is 63758475.

57485736 is a `hidden beast` number, since 5 + 74 + 8 + 573 + 6 = 666.

57485736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 57485691 and 57485700.

It is not an unprimeable number, because it can be changed into a prime (57485737) 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 23 ways as a sum of consecutive naturals, for example, 360 + ... + 10728.

It is an arithmetic number, because the mean of its divisors is an integer number (2022150).

Almost surely, 2^57485736 is an apocalyptic number.

57485736 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 57485736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97063200).

57485736 is an abundant number, since it is smaller than the sum of its proper divisors (136640664).

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

57485736 is a wasteful number, since it uses less digits than its factorization.

57485736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10399 (or 10392 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 57485736 is about 7581.9348454072. The cubic root of 57485736 is about 385.9402128490.

The spelling of 57485736 in words is "fifty-seven million, four hundred eighty-five thousand, seven hundred thirty-six".