653089320 has 192 divisors, whose sum is σ = 2329825680. Its totient is φ = 157667328.

The previous prime is 653089291. The next prime is 653089321. The reversal of 653089320 is 23980356.

653089320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 123076836 + 530012484 = 11094^2 + 23022^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (653089321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 246724 + ... + 249356.

Almost surely, 2^653089320 is an apocalyptic number.

653089320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 653089320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164912840).

653089320 is an abundant number, since it is smaller than the sum of its proper divisors (1676736360).

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

653089320 is a wasteful number, since it uses less digits than its factorization.

653089320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2716 (or 2709 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 653089320 is about 25555.6122994539. The cubic root of 653089320 is about 867.6092906292.

The spelling of 653089320 in words is "six hundred fifty-three million, eighty-nine thousand, three hundred twenty".