1324296720 has 240 divisors, whose sum is σ = 4607798832. Its totient is φ = 340623360.

The previous prime is 1324296709. The next prime is 1324296731. The reversal of 1324296720 is 276924231.

It is an interprime number because it is at equal distance from previous prime (1324296709) and next prime (1324296731).

It can be written as a sum of positive squares in 8 ways, for example, as 412739856 + 911556864 = 20316^2 + 30192^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3335562 + ... + 3335958.

Almost surely, 2^1324296720 is an apocalyptic number.

1324296720 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 1324296720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2303899416).

1324296720 is an abundant number, since it is smaller than the sum of its proper divisors (3283502112).

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

1324296720 is a wasteful number, since it uses less digits than its factorization.

1324296720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1324296720 is about 36390.8878704546. The cubic root of 1324296720 is about 1098.1502576376.

The spelling of 1324296720 in words is "one billion, three hundred twenty-four million, two hundred ninety-six thousand, seven hundred twenty".