1365872640 has 416 divisors, whose sum is σ = 4982224896. Its totient is φ = 316538880.

The previous prime is 1365872621. The next prime is 1365872657. The reversal of 1365872640 is 462785631.

It is a junction number, because it is equal to n+sod(n) for n = 1365872592 and 1365872601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29061097 + ... + 29061143.

Almost surely, 2^1365872640 is an apocalyptic number.

1365872640 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 1365872640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2491112448).

1365872640 is an abundant number, since it is smaller than the sum of its proper divisors (3616352256).

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

1365872640 is a wasteful number, since it uses less digits than its factorization.

1365872640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 1365872640 is about 36957.7142150323. The cubic root of 1365872640 is about 1109.5240878414.

The spelling of 1365872640 in words is "one billion, three hundred sixty-five million, eight hundred seventy-two thousand, six hundred forty".