649557792 has 240 divisors, whose sum is σ = 2116937592. Its totient is φ = 194088960.

The previous prime is 649557791. The next prime is 649557823. The reversal of 649557792 is 297755946.

649557792 is a `hidden beast` number, since 64 + 9 + 5 + 577 + 9 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 516016656 + 133541136 = 22716^2 + 11556^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (649557791) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1246492 + ... + 1247012.

Almost surely, 2^649557792 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 649557792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058468796).

649557792 is an abundant number, since it is smaller than the sum of its proper divisors (1467379800).

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

649557792 is a wasteful number, since it uses less digits than its factorization.

649557792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 576 counting only the distinct ones).

The product of its digits is 4762800, while the sum is 54.

The square root of 649557792 is about 25486.4236800694. The cubic root of 649557792 is about 866.0426208473.

The spelling of 649557792 in words is "six hundred forty-nine million, five hundred fifty-seven thousand, seven hundred ninety-two".