1308241920 has 208 divisors, whose sum is σ = 4246214400. Its totient is φ = 343867392.

The previous prime is 1308241897. The next prime is 1308241937. The reversal of 1308241920 is 291428031.

It is a super-2 number, since 2×1308241920² = 3422993842490572800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6573981 + ... + 6574179.

Almost surely, 2^1308241920 is an apocalyptic number.

1308241920 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 1308241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2123107200).

1308241920 is an abundant number, since it is smaller than the sum of its proper divisors (2937972480).

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

1308241920 is a wasteful number, since it uses less digits than its factorization.

1308241920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1308241920 is about 36169.6270370597. The cubic root of 1308241920 is about 1093.6944804689.

Adding to 1308241920 its reverse (291428031), we get a palindrome (1599669951).

The spelling of 1308241920 in words is "one billion, three hundred eight million, two hundred forty-one thousand, nine hundred twenty".