1304689680 has 400 divisors, whose sum is σ = 5293411200. Its totient is φ = 297706752.

The previous prime is 1304689657. The next prime is 1304689691. The reversal of 1304689680 is 869864031.

It is a super-2 number, since 2×1304689680² = 3404430322197004800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2222347 + ... + 2222933.

It is an arithmetic number, because the mean of its divisors is an integer number (13233528).

Almost surely, 2^1304689680 is an apocalyptic number.

1304689680 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 1304689680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2646705600).

1304689680 is an abundant number, since it is smaller than the sum of its proper divisors (3988721520).

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

1304689680 is an equidigital number, since it uses as much as digits as its factorization.

1304689680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1304689680 is about 36120.4883687915. The cubic root of 1304689680 is about 1092.7036884552.

The spelling of 1304689680 in words is "one billion, three hundred four million, six hundred eighty-nine thousand, six hundred eighty".