1306189872 has 180 divisors, whose sum is σ = 4118434320. Its totient is φ = 384139008.

The previous prime is 1306189861. The next prime is 1306189877. The reversal of 1306189872 is 2789816031.

It is a super-2 number, since 2×1306189872² = 3412263963430752768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1306189877) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 989629 + ... + 990947.

Almost surely, 2^1306189872 is an apocalyptic number.

1306189872 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 1306189872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059217160).

1306189872 is an abundant number, since it is smaller than the sum of its proper divisors (2812244448).

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

1306189872 is a wasteful number, since it uses less digits than its factorization.

1306189872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1392 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1306189872 is about 36141.2488992840. The cubic root of 1306189872 is about 1093.1223416306.

The spelling of 1306189872 in words is "one billion, three hundred six million, one hundred eighty-nine thousand, eight hundred seventy-two".