1365616960 has 224 divisors, whose sum is σ = 3581521920. Its totient is φ = 494592000.

The previous prime is 1365616937. The next prime is 1365617017. The reversal of 1365616960 is 696165631.

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, 13520910 + ... + 13521010.

Almost surely, 2^1365616960 is an apocalyptic number.

1365616960 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 1365616960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790760960).

1365616960 is an abundant number, since it is smaller than the sum of its proper divisors (2215904960).

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

1365616960 is a wasteful number, since it uses less digits than its factorization.

1365616960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 43.

The square root of 1365616960 is about 36954.2549647534. The cubic root of 1365616960 is about 1109.4548522935.

The spelling of 1365616960 in words is "one billion, three hundred sixty-five million, six hundred sixteen thousand, nine hundred sixty".