1107360 has 72 divisors (see below), whose sum is σ = 3783780. Its totient is φ = 294912.

The previous prime is 1107347. The next prime is 1107383. The reversal of 1107360 is 637011.

It can be written as a sum of positive squares in 2 ways, for example, as 1089936 + 17424 = 1044^2 + 132^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1056 + ... + 1824.

2^1107360 is an apocalyptic number.

1107360 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 1107360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1891890).

1107360 is an abundant number, since it is smaller than the sum of its proper divisors (2676420).

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

1107360 is a wasteful number, since it uses less digits than its factorization.

1107360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 1107360 is about 1052.3117408829. The cubic root of 1107360 is about 103.4577297107.

The spelling of 1107360 in words is "one million, one hundred seven thousand, three hundred sixty".