1137264 has 80 divisors (see below), whose sum is σ = 3273600. Its totient is φ = 338688.

The previous prime is 1137263. The next prime is 1137271. The reversal of 1137264 is 4627311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1137263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26427 + ... + 26469.

It is an arithmetic number, because the mean of its divisors is an integer number (40920).

2^1137264 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 1137264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636800).

1137264 is an abundant number, since it is smaller than the sum of its proper divisors (2136336).

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

1137264 is a wasteful number, since it uses less digits than its factorization.

1137264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 96 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 1137264 is about 1066.4258061394. The cubic root of 1137264 is about 104.3807542216.

It can be divided in two parts, 11 and 37264, that multiplied together give a palindrome (409904).

The spelling of 1137264 in words is "one million, one hundred thirty-seven thousand, two hundred sixty-four".