1308672000 has 360 divisors, whose sum is σ = 4784506272. Its totient is φ = 344064000.

The previous prime is 1308671999. The next prime is 1308672023. The reversal of 1308672000 is 2768031.

It is a tau number, because it is divible by the number of its divisors (360).

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, 18431965 + ... + 18432035.

Almost surely, 2^1308672000 is an apocalyptic number.

1308672000 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 1308672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2392253136).

1308672000 is an abundant number, since it is smaller than the sum of its proper divisors (3475834272).

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

1308672000 is an frugal number, since it uses more digits than its factorization.

1308672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1308672000 is about 36175.5718683202. The cubic root of 1308672000 is about 1093.8143167621.

The spelling of 1308672000 in words is "one billion, three hundred eight million, six hundred seventy-two thousand".