653959296 has 48 divisors (see below), whose sum is σ = 1881839310. Its totient is φ = 217986048.

The previous prime is 653959279. The next prime is 653959297. The reversal of 653959296 is 692959356.

It can be written as a sum of positive squares in only one way, i.e., 503553600 + 150405696 = 22440^2 + 12264^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (653959297) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 282685 + ... + 284988.

Almost surely, 2^653959296 is an apocalyptic number.

It is an amenable number.

653959296 is an abundant number, since it is smaller than the sum of its proper divisors (1227880014).

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

653959296 is a wasteful number, since it uses less digits than its factorization.

653959296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567693 (or 567678 counting only the distinct ones).

The product of its digits is 3936600, while the sum is 54.

The square root of 653959296 is about 25572.6278665295. The cubic root of 653959296 is about 867.9943652434.

It can be divided in two parts, 65395 and 9296, that added together give a triangular number (74691 = T₃₈₆).

The spelling of 653959296 in words is "six hundred fifty-three million, nine hundred fifty-nine thousand, two hundred ninety-six".