1296153600 has 264 divisors, whose sum is σ = 4897865088. Its totient is φ = 296140800.

The previous prime is 1296153589. The next prime is 1296153619. The reversal of 1296153600 is 63516921.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 536395 + ... + 538805.

Almost surely, 2^1296153600 is an apocalyptic number.

1296153600 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 1296153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2448932544).

1296153600 is an abundant number, since it is smaller than the sum of its proper divisors (3601711488).

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

1296153600 is a wasteful number, since it uses less digits than its factorization.

1296153600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2451 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 1296153600 is about 36002.1332701272. The cubic root of 1296153600 is about 1090.3154264859.

The spelling of 1296153600 in words is "one billion, two hundred ninety-six million, one hundred fifty-three thousand, six hundred".