1104788160 has 280 divisors, whose sum is σ = 4492081440. Its totient is φ = 252481536.

The previous prime is 1104788149. The next prime is 1104788171. The reversal of 1104788160 is 618874011.

It is an interprime number because it is at equal distance from previous prime (1104788149) and next prime (1104788171).

It is a tau number, because it is divible by the number of its divisors (280).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 178396 + ... + 184484.

It is an arithmetic number, because the mean of its divisors is an integer number (16043148).

Almost surely, 2^1104788160 is an apocalyptic number.

1104788160 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 1104788160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2246040720).

1104788160 is an abundant number, since it is smaller than the sum of its proper divisors (3387293280).

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

1104788160 is an equidigital number, since it uses as much as digits as its factorization.

1104788160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6125 (or 6106 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 1104788160 is about 33238.3537498475. The cubic root of 1104788160 is about 1033.7757421139.

The spelling of 1104788160 in words is "one billion, one hundred four million, seven hundred eighty-eight thousand, one hundred sixty".