653129984 has 72 divisors (see below), whose sum is σ = 1411770360. Its totient is φ = 299778048.

The previous prime is 653129977. The next prime is 653130007. The reversal of 653129984 is 489921356.

653129984 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 4 ways, for example, as 279558400 + 373571584 = 16720^2 + 19328^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 761684 + ... + 762540.

Almost surely, 2^653129984 is an apocalyptic number.

653129984 is a gapful number since it is divisible by the number (64) 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 653129984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705885180).

653129984 is an abundant number, since it is smaller than the sum of its proper divisors (758640376).

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

653129984 is a wasteful number, since it uses less digits than its factorization.

653129984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1101 counting only the distinct ones).

The product of its digits is 466560, while the sum is 47.

The square root of 653129984 is about 25556.4078853034. The cubic root of 653129984 is about 867.6272972178.

The spelling of 653129984 in words is "six hundred fifty-three million, one hundred twenty-nine thousand, nine hundred eighty-four".