57050784 has 96 divisors (see below), whose sum is σ = 190189440. Its totient is φ = 16298496.

The previous prime is 57050783. The next prime is 57050789. The reversal of 57050784 is 48705075.

57050784 is a `hidden beast` number, since 5 + 70 + 507 + 84 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57050783) by changing a digit.

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, 1332 + ... + 10764.

It is an arithmetic number, because the mean of its divisors is an integer number (1981140).

Almost surely, 2^57050784 is an apocalyptic number.

57050784 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 57050784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95094720).

57050784 is an abundant number, since it is smaller than the sum of its proper divisors (133138656).

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

57050784 is a wasteful number, since it uses less digits than its factorization.

57050784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9459 (or 9445 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 57050784 is about 7553.1969390451. The cubic root of 57050784 is about 384.9643729331.

The spelling of 57050784 in words is "fifty-seven million, fifty thousand, seven hundred eighty-four".