1359939672 has 256 divisors, whose sum is σ = 4760448000. Its totient is φ = 350106624.

The previous prime is 1359939671. The next prime is 1359939677. The reversal of 1359939672 is 2769399531.

It is a happy number.

1359939672 is a `hidden beast` number, since 13 + 599 + 39 + 6 + 7 + 2 = 666.

It is a super-2 number, since 2×1359939672² = 3698871822958935168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1359939671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 844404 + ... + 846012.

It is an arithmetic number, because the mean of its divisors is an integer number (18595500).

Almost surely, 2^1359939672 is an apocalyptic number.

1359939672 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 1359939672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2380224000).

1359939672 is an abundant number, since it is smaller than the sum of its proper divisors (3400508328).

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

1359939672 is a wasteful number, since it uses less digits than its factorization.

1359939672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687 (or 1677 counting only the distinct ones).

The product of its digits is 2755620, while the sum is 54.

The square root of 1359939672 is about 36877.3598838095. The cubic root of 1359939672 is about 1107.9152689271.

The spelling of 1359939672 in words is "one billion, three hundred fifty-nine million, nine hundred thirty-nine thousand, six hundred seventy-two".