1321164800 has 84 divisors (see below), whose sum is σ = 3276796596. Its totient is φ = 528384000.

The previous prime is 1321164799. The next prime is 1321164821. The reversal of 1321164800 is 84611231.

It is a self number, because there is not a number n which added to its sum of digits gives 1321164800.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 201575 + ... + 208025.

Almost surely, 2^1321164800 is an apocalyptic number.

1321164800 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 1321164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638398298).

1321164800 is an abundant number, since it is smaller than the sum of its proper divisors (1955631796).

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

1321164800 is an frugal number, since it uses more digits than its factorization.

1321164800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6487 (or 6458 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 1321164800 is about 36347.8307468272. The cubic root of 1321164800 is about 1097.2838773760.

The spelling of 1321164800 in words is "one billion, three hundred twenty-one million, one hundred sixty-four thousand, eight hundred".