1101864960 has 504 divisors, whose sum is σ = 4516006716. Its totient is φ = 247726080.

The previous prime is 1101864941. The next prime is 1101864989. The reversal of 1101864960 is 694681011.

It is a happy number.

1101864960 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 8 + 649 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 955551744 + 146313216 = 30912^2 + 12096^2 .

It is a tau number, because it is divible by the number of its divisors (504).

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 35 ways as a sum of consecutive naturals, for example, 18063330 + ... + 18063390.

Almost surely, 2^1101864960 is an apocalyptic number.

1101864960 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 1101864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2258003358).

1101864960 is an abundant number, since it is smaller than the sum of its proper divisors (3414141756).

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

1101864960 is an equidigital number, since it uses as much as digits as its factorization.

1101864960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1101864960 is about 33194.3513266941. The cubic root of 1101864960 is about 1032.8631682331.

The spelling of 1101864960 in words is "one billion, one hundred one million, eight hundred sixty-four thousand, nine hundred sixty".