1101461760 has 576 divisors, whose sum is σ = 4650508800. Its totient is φ = 241532928.

The previous prime is 1101461747. The next prime is 1101461771. The reversal of 1101461760 is 671641011.

It is a tau number, because it is divible by the number of its divisors (576).

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 63 ways as a sum of consecutive naturals, for example, 7015602 + ... + 7015758.

It is an arithmetic number, because the mean of its divisors is an integer number (8073800).

Almost surely, 2^1101461760 is an apocalyptic number.

1101461760 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 1101461760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2325254400).

1101461760 is an abundant number, since it is smaller than the sum of its proper divisors (3549047040).

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

1101461760 is a wasteful number, since it uses less digits than its factorization.

1101461760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 203 counting only the distinct ones).

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

The square root of 1101461760 is about 33188.2774485209. The cubic root of 1101461760 is about 1032.7371693581.

The spelling of 1101461760 in words is "one billion, one hundred one million, four hundred sixty-one thousand, seven hundred sixty".