1365215616 has 96 divisors (see below), whose sum is σ = 3943948320. Its totient is φ = 453288960.

The previous prime is 1365215587. The next prime is 1365215641. The reversal of 1365215616 is 6165125631.

1365215616 is a `hidden beast` number, since 1 + 36 + 5 + 2 + 1 + 5 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 310006 + ... + 314378.

It is an arithmetic number, because the mean of its divisors is an integer number (41082795).

Almost surely, 2^1365215616 is an apocalyptic number.

1365215616 is a gapful number since it is divisible by the number (16) 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 1365215616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1971974160).

1365215616 is an abundant number, since it is smaller than the sum of its proper divisors (2578732704).

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

1365215616 is a wasteful number, since it uses less digits than its factorization.

1365215616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4664 (or 4649 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 1365215616 is about 36948.8242844072. The cubic root of 1365215616 is about 1109.3461549821.

The spelling of 1365215616 in words is "one billion, three hundred sixty-five million, two hundred fifteen thousand, six hundred sixteen".