1298160864 has 768 divisors, whose sum is σ = 5419008000. Its totient is φ = 291133440.

The previous prime is 1298160863. The next prime is 1298160889. The reversal of 1298160864 is 4680618921.

1298160864 = 111² + 112² + ... + 1573².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1298160863) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 16432377 + ... + 16432455.

It is an arithmetic number, because the mean of its divisors is an integer number (7056000).

Almost surely, 2^1298160864 is an apocalyptic number.

1298160864 is a gapful number since it is divisible by the number (14) 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 1298160864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2709504000).

1298160864 is an abundant number, since it is smaller than the sum of its proper divisors (4120847136).

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

1298160864 is a wasteful number, since it uses less digits than its factorization.

1298160864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 1298160864 is about 36029.9995004163. Note that the first 3 decimals coincide. The cubic root of 1298160864 is about 1090.8779683848.

The spelling of 1298160864 in words is "one billion, two hundred ninety-eight million, one hundred sixty thousand, eight hundred sixty-four".