57206304 has 96 divisors (see below), whose sum is σ = 169323840. Its totient is φ = 18786816.

The previous prime is 57206287. The next prime is 57206311. The reversal of 57206304 is 40360275.

It is a happy number.

57206304 is a `hidden beast` number, since 5 + 7 + 20 + 630 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×57206304³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62619 + ... + 63525.

It is an arithmetic number, because the mean of its divisors is an integer number (1763790).

Almost surely, 2^57206304 is an apocalyptic number.

57206304 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 57206304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84661920).

57206304 is an abundant number, since it is smaller than the sum of its proper divisors (112117536).

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

57206304 is a wasteful number, since it uses less digits than its factorization.

57206304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 57206304 is about 7563.4849110711. The cubic root of 57206304 is about 385.3138588701.

Adding to 57206304 its reverse (40360275), we get a palindrome (97566579).

The spelling of 57206304 in words is "fifty-seven million, two hundred six thousand, three hundred four".