57129040 has 20 divisors (see below), whose sum is σ = 132825204. Its totient is φ = 22851584.

The previous prime is 57128989. The next prime is 57129041. The reversal of 57129040 is 4092175.

It is a happy number.

57129040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 26790976 + 30338064 = 5176^2 + 5508^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×57129040² = 6527454422643200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57129041) 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 3 ways as a sum of consecutive naturals, for example, 356977 + ... + 357136.

Almost surely, 2^57129040 is an apocalyptic number.

It is an amenable number.

57129040 is an abundant number, since it is smaller than the sum of its proper divisors (75696164).

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

57129040 is a wasteful number, since it uses less digits than its factorization.

57129040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714126 (or 714120 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 57129040 is about 7558.3754868358. The cubic root of 57129040 is about 385.1403097969.

The spelling of 57129040 in words is "fifty-seven million, one hundred twenty-nine thousand, forty".