1297874592 has 144 divisors (see below), whose sum is σ = 4276359360. Its totient is φ = 365700096.

The previous prime is 1297874587. The next prime is 1297874597. The reversal of 1297874592 is 2954787921.

It is an interprime number because it is at equal distance from previous prime (1297874587) and next prime (1297874597).

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

It is not an unprimeable number, because it can be changed into a prime (1297874597) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142759 + ... + 151577.

It is an arithmetic number, because the mean of its divisors is an integer number (29696940).

Almost surely, 2^1297874592 is an apocalyptic number.

1297874592 is a gapful number since it is divisible by the number (12) 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 1297874592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2138179680).

1297874592 is an abundant number, since it is smaller than the sum of its proper divisors (2978484768).

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

1297874592 is a wasteful number, since it uses less digits than its factorization.

1297874592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8915 (or 8904 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The square root of 1297874592 is about 36026.0265918960. The cubic root of 1297874592 is about 1090.7977752479.

It can be divided in two parts, 1297874 and 592, that added together give a triangular number (1298466 = T₁₆₁₁).

The spelling of 1297874592 in words is "one billion, two hundred ninety-seven million, eight hundred seventy-four thousand, five hundred ninety-two".