1304768610 has 96 divisors (see below), whose sum is σ = 3654263808. Its totient is φ = 322058880.

The previous prime is 1304768497. The next prime is 1304768617. The reversal of 1304768610 is 168674031.

1304768610 is a `hidden beast` number, since 1 + 30 + 4 + 7 + 6 + 8 + 610 = 666.

It is a super-2 number, since 2×1304768610² = 3404842251282664200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1304768617) by changing a digit.

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, 54004 + ... + 74336.

It is an arithmetic number, because the mean of its divisors is an integer number (38065248).

Almost surely, 2^1304768610 is an apocalyptic number.

1304768610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1304768610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1827131904).

1304768610 is an abundant number, since it is smaller than the sum of its proper divisors (2349495198).

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

1304768610 is a wasteful number, since it uses less digits than its factorization.

1304768610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20400 (or 20397 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1304768610 is about 36121.5809454680. The cubic root of 1304768610 is about 1092.7257231618.

The spelling of 1304768610 in words is "one billion, three hundred four million, seven hundred sixty-eight thousand, six hundred ten".