1321629360 has 160 divisors (see below), whose sum is σ = 4353888000. Its totient is φ = 330697728.

The previous prime is 1321629349. The next prime is 1321629371. The reversal of 1321629360 is 639261231.

1321629360 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1321629349) and next prime (1321629371).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 495711 + ... + 498369.

It is an arithmetic number, because the mean of its divisors is an integer number (27211800).

Almost surely, 2^1321629360 is an apocalyptic number.

1321629360 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 1321629360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2176944000).

1321629360 is an abundant number, since it is smaller than the sum of its proper divisors (3032258640).

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

1321629360 is a wasteful number, since it uses less digits than its factorization.

1321629360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2803 (or 2797 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 1321629360 is about 36354.2206628061. The cubic root of 1321629360 is about 1097.4124746213.

The spelling of 1321629360 in words is "one billion, three hundred twenty-one million, six hundred twenty-nine thousand, three hundred sixty".