1105604640 has 360 divisors, whose sum is σ = 4541508972. Its totient is φ = 252564480.

The previous prime is 1105604609. The next prime is 1105604651. The reversal of 1105604640 is 464065011.

1105604640 is a `hidden beast` number, since 1 + 10 + 5 + 6 + 0 + 4 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 899280144 + 206324496 = 29988^2 + 14364^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 634170 + ... + 635910.

Almost surely, 2^1105604640 is an apocalyptic number.

1105604640 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 1105604640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2270754486).

1105604640 is an abundant number, since it is smaller than the sum of its proper divisors (3435904332).

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

1105604640 is a wasteful number, since it uses less digits than its factorization.

1105604640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1105604640 is about 33250.6336781722. The cubic root of 1105604640 is about 1034.0303457878.

Adding to 1105604640 its reverse (464065011), we get a palindrome (1569669651).

The spelling of 1105604640 in words is "one billion, one hundred five million, six hundred four thousand, six hundred forty".