575102640 has 320 divisors, whose sum is σ = 2199859200. Its totient is φ = 121347072.

The previous prime is 575102623. The next prime is 575102641. The reversal of 575102640 is 46201575.

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 = 575102598 and 575102607.

It is not an unprimeable number, because it can be changed into a prime (575102641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1372351 + ... + 1372769.

It is an arithmetic number, because the mean of its divisors is an integer number (6874560).

Almost surely, 2^575102640 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 575102640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099929600).

575102640 is an abundant number, since it is smaller than the sum of its proper divisors (1624756560).

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

575102640 is a wasteful number, since it uses less digits than its factorization.

575102640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 575102640 is about 23981.2977130096. The cubic root of 575102640 is about 831.6012250109.

The spelling of 575102640 in words is "five hundred seventy-five million, one hundred two thousand, six hundred forty".