57164540 has 48 divisors (see below), whose sum is σ = 133812000. Its totient is φ = 20385792.

The previous prime is 57164533. The next prime is 57164551. The reversal of 57164540 is 4546175.

57164540 = T₁₉₅ + T₁₉₆ + ... + T₇₀₄.

57164540 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 = 57164497 and 57164506.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2036 + ... + 10884.

It is an arithmetic number, because the mean of its divisors is an integer number (2787750).

Almost surely, 2^57164540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57164540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66906000).

57164540 is an abundant number, since it is smaller than the sum of its proper divisors (76647460).

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

57164540 is a wasteful number, since it uses less digits than its factorization.

57164540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8894 (or 8892 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 57164540 is about 7560.7235103527. The cubic root of 57164540 is about 385.2200687073.

The spelling of 57164540 in words is "fifty-seven million, one hundred sixty-four thousand, five hundred forty".