1308640000 has 90 divisors (see below), whose sum is σ = 3264564380. Its totient is φ = 523392000.

The previous prime is 1308639973. The next prime is 1308640019. The reversal of 1308640000 is 468031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 155911 + ... + 164089.

Almost surely, 2^1308640000 is an apocalyptic number.

1308640000 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 1308640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632282190).

1308640000 is an abundant number, since it is smaller than the sum of its proper divisors (1955924380).

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

1308640000 is an frugal number, since it uses more digits than its factorization.

1308640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8215 (or 8186 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 1308640000 is about 36175.1295782061. The cubic root of 1308640000 is about 1093.8054012754.

The spelling of 1308640000 in words is "one billion, three hundred eight million, six hundred forty thousand".