1365885920 has 96 divisors (see below), whose sum is σ = 3699053568. Its totient is φ = 466887168.

The previous prime is 1365885901. The next prime is 1365885959. The reversal of 1365885920 is 295885631.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 409379 + ... + 412701.

It is an arithmetic number, because the mean of its divisors is an integer number (38531808).

Almost surely, 2^1365885920 is an apocalyptic number.

1365885920 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 1365885920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849526784).

1365885920 is an abundant number, since it is smaller than the sum of its proper divisors (2333167648).

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

1365885920 is a wasteful number, since it uses less digits than its factorization.

1365885920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3712 (or 3704 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 47.

The square root of 1365885920 is about 36957.8938793866. The cubic root of 1365885920 is about 1109.5276836945.

The spelling of 1365885920 in words is "one billion, three hundred sixty-five million, eight hundred eighty-five thousand, nine hundred twenty".