1297794960 has 840 divisors, whose sum is σ = 5991598656. Its totient is φ = 253808640.

The previous prime is 1297794931. The next prime is 1297794989. The reversal of 1297794960 is 694977921.

It is an interprime number because it is at equal distance from previous prime (1297794931) and next prime (1297794989).

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1297794897 and 1297794906.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 76340872 + ... + 76340888.

Almost surely, 2^1297794960 is an apocalyptic number.

1297794960 is a gapful number since it is divisible by the number (10) 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 1297794960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2995799328).

1297794960 is an abundant number, since it is smaller than the sum of its proper divisors (4693803696).

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

1297794960 is a wasteful number, since it uses less digits than its factorization.

1297794960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The square root of 1297794960 is about 36024.9213739600. The cubic root of 1297794960 is about 1090.7754659057.

The spelling of 1297794960 in words is "one billion, two hundred ninety-seven million, seven hundred ninety-four thousand, nine hundred sixty".