577132640 has 96 divisors (see below), whose sum is σ = 1581721344. Its totient is φ = 194895360.

The previous prime is 577132603. The next prime is 577132649. The reversal of 577132640 is 46231775.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 577132640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (577132649) by changing a digit.

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, 71195 + ... + 78885.

It is an arithmetic number, because the mean of its divisors is an integer number (16476264).

Almost surely, 2^577132640 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 577132640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790860672).

577132640 is an abundant number, since it is smaller than the sum of its proper divisors (1004588704).

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

577132640 is a wasteful number, since it uses less digits than its factorization.

577132640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7780 (or 7772 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 35.

The square root of 577132640 is about 24023.5850780020. The cubic root of 577132640 is about 832.5785393051.

The spelling of 577132640 in words is "five hundred seventy-seven million, one hundred thirty-two thousand, six hundred forty".