653090240 has 168 divisors, whose sum is σ = 1736665056. Its totient is φ = 233728000.

The previous prime is 653090209. The next prime is 653090257. The reversal of 653090240 is 42090356.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3910637 + ... + 3910803.

It is an arithmetic number, because the mean of its divisors is an integer number (10337292).

Almost surely, 2^653090240 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 653090240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868332528).

653090240 is an abundant number, since it is smaller than the sum of its proper divisors (1083574816).

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

653090240 is a wasteful number, since it uses less digits than its factorization.

653090240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 653090240 is about 25555.6302994076. The cubic root of 653090240 is about 867.6096980264.

The spelling of 653090240 in words is "six hundred fifty-three million, ninety thousand, two hundred forty".