1104217920 has 560 divisors, whose sum is σ = 4414631760. Its totient is φ = 260112384.

The previous prime is 1104217841. The next prime is 1104217921. The reversal of 1104217920 is 297124011.

It can be written as a sum of positive squares in 8 ways, for example, as 331822656 + 772395264 = 18216^2 + 27792^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1104217921) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9771784 + ... + 9771896.

It is an arithmetic number, because the mean of its divisors is an integer number (7883271).

Almost surely, 2^1104217920 is an apocalyptic number.

1104217920 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 1104217920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2207315880).

1104217920 is an abundant number, since it is smaller than the sum of its proper divisors (3310413840).

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

1104217920 is a wasteful number, since it uses less digits than its factorization.

1104217920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1104217920 is about 33229.7746004995. The cubic root of 1104217920 is about 1033.5978492672.

It can be divided in two parts, 110421 and 7920, that added together give a triangular number (118341 = T₄₈₆).

The spelling of 1104217920 in words is "one billion, one hundred four million, two hundred seventeen thousand, nine hundred twenty".