57284064 has 48 divisors (see below), whose sum is σ = 167081040. Its totient is φ = 19094400.

The previous prime is 57284057. The next prime is 57284081. The reversal of 57284064 is 46048275.

57284064 is a `hidden beast` number, since 572 + 84 + 0 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32287 + ... + 34014.

It is an arithmetic number, because the mean of its divisors is an integer number (3480855).

Almost surely, 2^57284064 is an apocalyptic number.

57284064 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

57284064 is an abundant number, since it is smaller than the sum of its proper divisors (109796976).

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

57284064 is a wasteful number, since it uses less digits than its factorization.

57284064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66320 (or 66306 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 57284064 is about 7568.6236529504. The cubic root of 57284064 is about 385.4883643477.

The spelling of 57284064 in words is "fifty-seven million, two hundred eighty-four thousand, sixty-four".