1308961920 has 384 divisors, whose sum is σ = 5080383360. Its totient is φ = 280756224.

The previous prime is 1308961877. The next prime is 1308961933. The reversal of 1308961920 is 291698031.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3883992 + ... + 3884328.

It is an arithmetic number, because the mean of its divisors is an integer number (13230165).

Almost surely, 2^1308961920 is an apocalyptic number.

1308961920 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 1308961920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540191680).

1308961920 is an abundant number, since it is smaller than the sum of its proper divisors (3771421440).

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

1308961920 is a wasteful number, since it uses less digits than its factorization.

1308961920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 1308961920 is about 36179.5787703505. The cubic root of 1308961920 is about 1093.8950844491.

The spelling of 1308961920 in words is "one billion, three hundred eight million, nine hundred sixty-one thousand, nine hundred twenty".