653980320 has 144 divisors (see below), whose sum is σ = 2550562560. Its totient is φ = 149478912.

The previous prime is 653980319. The next prime is 653980333. The reversal of 653980320 is 23089356.

It is a tau number, because it is divible by the number of its divisors (144).

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

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, 22360 + ... + 42519.

It is an arithmetic number, because the mean of its divisors is an integer number (17712240).

Almost surely, 2^653980320 is an apocalyptic number.

653980320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

653980320 is an abundant number, since it is smaller than the sum of its proper divisors (1896582240).

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

653980320 is a wasteful number, since it uses less digits than its factorization.

653980320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64907 (or 64896 counting only the distinct ones).

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

The square root of 653980320 is about 25573.0389277458. The cubic root of 653980320 is about 868.0036667998.

The spelling of 653980320 in words is "six hundred fifty-three million, nine hundred eighty thousand, three hundred twenty".