1107605664 has 288 divisors, whose sum is σ = 3724890624. Its totient is φ = 320474880.

The previous prime is 1107605657. The next prime is 1107605669. The reversal of 1107605664 is 4665067011.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1107605669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1967047 + ... + 1967609.

It is an arithmetic number, because the mean of its divisors is an integer number (12933648).

Almost surely, 2^1107605664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1107605664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1862445312).

1107605664 is an abundant number, since it is smaller than the sum of its proper divisors (2617284960).

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

1107605664 is a wasteful number, since it uses less digits than its factorization.

1107605664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1107605664 is about 33280.7100885783. The cubic root of 1107605664 is about 1034.6537972532.

The spelling of 1107605664 in words is "one billion, one hundred seven million, six hundred five thousand, six hundred sixty-four".