1304991072 has 288 divisors, whose sum is σ = 4689135360. Its totient is φ = 334402560.

The previous prime is 1304991067. The next prime is 1304991101. The reversal of 1304991072 is 2701994031.

It is a tau number, because it is divible by the number of its divisors (288).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1840254 + ... + 1840962.

It is an arithmetic number, because the mean of its divisors is an integer number (16281720).

Almost surely, 2^1304991072 is an apocalyptic number.

1304991072 is a gapful number since it is divisible by the number (12) 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 1304991072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2344567680).

1304991072 is an abundant number, since it is smaller than the sum of its proper divisors (3384144288).

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

1304991072 is a wasteful number, since it uses less digits than its factorization.

1304991072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 815 counting only the distinct ones).

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

The square root of 1304991072 is about 36124.6601644915. The cubic root of 1304991072 is about 1092.7878225854.

The spelling of 1304991072 in words is "one billion, three hundred four million, nine hundred ninety-one thousand, seventy-two".