1365920640 has 384 divisors, whose sum is σ = 5677401600. Its totient is φ = 295612416.

The previous prime is 1365920629. The next prime is 1365920681. The reversal of 1365920640 is 460295631.

It is a happy number.

1365920640 is a `hidden beast` number, since 1 + 3 + 6 + 5 + 9 + 2 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1365920595 and 1365920604.

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, 765189 + ... + 766971.

It is an arithmetic number, because the mean of its divisors is an integer number (14784900).

Almost surely, 2^1365920640 is an apocalyptic number.

1365920640 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 1365920640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2838700800).

1365920640 is an abundant number, since it is smaller than the sum of its proper divisors (4311480960).

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

1365920640 is a wasteful number, since it uses less digits than its factorization.

1365920640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1834 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1365920640 is about 36958.3636001379. The cubic root of 1365920640 is about 1109.5370847907.

The spelling of 1365920640 in words is "one billion, three hundred sixty-five million, nine hundred twenty thousand, six hundred forty".