1297651968 has 288 divisors, whose sum is σ = 4155043200. Its totient is φ = 398131200.

The previous prime is 1297651967. The next prime is 1297651969. The reversal of 1297651968 is 8691567921.

It is an interprime number because it is at equal distance from previous prime (1297651967) and next prime (1297651969).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (1297651961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5384328 + ... + 5384568.

Almost surely, 2^1297651968 is an apocalyptic number.

1297651968 is a gapful number since it is divisible by the number (18) 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 1297651968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2077521600).

1297651968 is an abundant number, since it is smaller than the sum of its proper divisors (2857391232).

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

1297651968 is a wasteful number, since it uses less digits than its factorization.

1297651968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 306 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 54.

The square root of 1297651968 is about 36022.9366931681. The cubic root of 1297651968 is about 1090.7354036209.

The spelling of 1297651968 in words is "one billion, two hundred ninety-seven million, six hundred fifty-one thousand, nine hundred sixty-eight".