57545040 has 80 divisors (see below), whose sum is σ = 203879808. Its totient is φ = 13152768.

The previous prime is 57545009. The next prime is 57545071. The reversal of 57545040 is 4054575.

It is an interprime number because it is at equal distance from previous prime (57545009) and next prime (57545071).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×57545040² = 6622863257203200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 57544989 and 57545007.

It is a congruent number.

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, 15447 + ... + 18806.

Almost surely, 2^57545040 is an apocalyptic number.

It is an amenable number.

57545040 is an abundant number, since it is smaller than the sum of its proper divisors (146334768).

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

57545040 is a wasteful number, since it uses less digits than its factorization.

57545040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34276 (or 34270 counting only the distinct ones).

The product of its (nonzero) digits is 14000, while the sum is 30.

The square root of 57545040 is about 7585.8447123574. The cubic root of 57545040 is about 386.0728830492.

The spelling of 57545040 in words is "fifty-seven million, five hundred forty-five thousand, forty".