1297604736 has 192 divisors, whose sum is σ = 3882846240. Its totient is φ = 415641600.

The previous prime is 1297604723. The next prime is 1297604767. The reversal of 1297604736 is 6374067921.

1297604736 is a `hidden beast` number, since 1 + 2 + 9 + 7 + 604 + 7 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 1297604691 and 1297604700.

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 23 ways as a sum of consecutive naturals, for example, 3920091 + ... + 3920421.

Almost surely, 2^1297604736 is an apocalyptic number.

1297604736 is a gapful number since it is divisible by the number (16) 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 1297604736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941423120).

1297604736 is an abundant number, since it is smaller than the sum of its proper divisors (2585241504).

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

1297604736 is a wasteful number, since it uses less digits than its factorization.

1297604736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 1297604736 is about 36022.2811048940. The cubic root of 1297604736 is about 1090.7221699134.

The spelling of 1297604736 in words is "one billion, two hundred ninety-seven million, six hundred four thousand, seven hundred thirty-six".