1105625664 has 336 divisors, whose sum is σ = 3852086784. Its totient is φ = 298598400.

The previous prime is 1105625659. The next prime is 1105625669. The reversal of 1105625664 is 4665265011.

It is an interprime number because it is at equal distance from previous prime (1105625659) and next prime (1105625669).

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

It is not an unprimeable number, because it can be changed into a prime (1105625669) 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, 2553192 + ... + 2553624.

It is an arithmetic number, because the mean of its divisors is an integer number (11464544).

Almost surely, 2^1105625664 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 1105625664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1926043392).

1105625664 is an abundant number, since it is smaller than the sum of its proper divisors (2746461120).

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

1105625664 is a wasteful number, since it uses less digits than its factorization.

1105625664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1105625664 is about 33250.9498210202. The cubic root of 1105625664 is about 1034.0369000645.

The spelling of 1105625664 in words is "one billion, one hundred five million, six hundred twenty-five thousand, six hundred sixty-four".