1307219904 has 224 divisors, whose sum is σ = 4143329280. Its totient is φ = 402969600.

The previous prime is 1307219899. The next prime is 1307219939. The reversal of 1307219904 is 4099127031.

1307219904 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1231534 + ... + 1232594.

Almost surely, 2^1307219904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1307219904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2071664640).

1307219904 is an abundant number, since it is smaller than the sum of its proper divisors (2836109376).

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

1307219904 is a wasteful number, since it uses less digits than its factorization.

1307219904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 1307219904 is about 36155.4961796958. The cubic root of 1307219904 is about 1093.4096033779.

It can be divided in two parts, 130721 and 9904, that added together give a square (140625 = 375²).

The spelling of 1307219904 in words is "one billion, three hundred seven million, two hundred nineteen thousand, nine hundred four".