57653640 has 256 divisors, whose sum is σ = 219801600. Its totient is φ = 13305600.

The previous prime is 57653639. The next prime is 57653671. The reversal of 57653640 is 4635675.

57653640 is a `hidden beast` number, since 5 + 7 + 6 + 5 + 3 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 57653595 and 57653604.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 273135 + ... + 273345.

It is an arithmetic number, because the mean of its divisors is an integer number (858600).

Almost surely, 2^57653640 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 57653640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109900800).

57653640 is an abundant number, since it is smaller than the sum of its proper divisors (162147960).

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

57653640 is a wasteful number, since it uses less digits than its factorization.

57653640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 57653640 is about 7592.9994073489. Note that the first 3 decimals coincide. The cubic root of 57653640 is about 386.3155982468.

The spelling of 57653640 in words is "fifty-seven million, six hundred fifty-three thousand, six hundred forty".