1308856320 has 312 divisors, whose sum is σ = 4722734016. Its totient is φ = 347701248.

The previous prime is 1308856309. The next prime is 1308856337. The reversal of 1308856320 is 236588031.

1308856320 is a `hidden beast` number, since 13 + 0 + 8 + 8 + 5 + 632 + 0 = 666.

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 23 ways as a sum of consecutive naturals, for example, 4976509 + ... + 4976771.

It is an arithmetic number, because the mean of its divisors is an integer number (15136968).

Almost surely, 2^1308856320 is an apocalyptic number.

1308856320 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 1308856320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2361367008).

1308856320 is an abundant number, since it is smaller than the sum of its proper divisors (3413877696).

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

1308856320 is an frugal number, since it uses more digits than its factorization.

1308856320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1308856320 is about 36178.1193541068. The cubic root of 1308856320 is about 1093.8656671362.

The spelling of 1308856320 in words is "one billion, three hundred eight million, eight hundred fifty-six thousand, three hundred twenty".