653034096 has 360 divisors, whose sum is σ = 2292717840. Its totient is φ = 176774400.

The previous prime is 653034089. The next prime is 653034113. The reversal of 653034096 is 690430356.

653034096 is a `hidden beast` number, since 6 + 530 + 34 + 0 + 96 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 653034096.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21065601 + ... + 21065631.

Almost surely, 2^653034096 is an apocalyptic number.

653034096 is a gapful number since it is divisible by the number (66) 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 653034096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146358920).

653034096 is an abundant number, since it is smaller than the sum of its proper divisors (1639683744).

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

653034096 is a wasteful number, since it uses less digits than its factorization.

653034096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 653034096 is about 25554.5318094462. The cubic root of 653034096 is about 867.5848354720.

The spelling of 653034096 in words is "six hundred fifty-three million, thirty-four thousand, ninety-six".