1365112320 has 480 divisors, whose sum is σ = 5211603936. Its totient is φ = 302776320.

The previous prime is 1365112319. The next prime is 1365112387. The reversal of 1365112320 is 232115631.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12080584 + ... + 12080696.

Almost surely, 2^1365112320 is an apocalyptic number.

1365112320 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 1365112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2605801968).

1365112320 is an abundant number, since it is smaller than the sum of its proper divisors (3846491616).

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

1365112320 is a wasteful number, since it uses less digits than its factorization.

1365112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 1365112320 is about 36947.4264327030. The cubic root of 1365112320 is about 1109.3181755408.

Adding to 1365112320 its reverse (232115631), we get a palindrome (1597227951).

It can be divided in two parts, 136511 and 2320, that added together give a palindrome (138831).

The spelling of 1365112320 in words is "one billion, three hundred sixty-five million, one hundred twelve thousand, three hundred twenty".