1107264 has 56 divisors (see below), whose sum is σ = 3007360. Its totient is φ = 359424.

The previous prime is 1107217. The next prime is 1107269. The reversal of 1107264 is 4627011.

It is a self number, because there is not a number n which added to its sum of digits gives 1107264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1107269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13977 + ... + 14055.

2^1107264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1107264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503680).

1107264 is an abundant number, since it is smaller than the sum of its proper divisors (1900096).

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

1107264 is an equidigital number, since it uses as much as digits as its factorization.

1107264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 1107264 is about 1052.2661260347. The cubic root of 1107264 is about 103.4547399486.

The spelling of 1107264 in words is "one million, one hundred seven thousand, two hundred sixty-four".