1305671640 has 768 divisors, whose sum is σ = 5515776000. Its totient is φ = 243855360.

The previous prime is 1305671623. The next prime is 1305671641. The reversal of 1305671640 is 461765031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305671641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 42118425 + ... + 42118455.

It is an arithmetic number, because the mean of its divisors is an integer number (7182000).

Almost surely, 2^1305671640 is an apocalyptic number.

1305671640 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 1305671640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757888000).

1305671640 is an abundant number, since it is smaller than the sum of its proper divisors (4210104360).

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

1305671640 is a wasteful number, since it uses less digits than its factorization.

1305671640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 1305671640 is about 36134.0786515998. The cubic root of 1305671640 is about 1092.9777567519.

The spelling of 1305671640 in words is "one billion, three hundred five million, six hundred seventy-one thousand, six hundred forty".