1135456 has 48 divisors (see below), whose sum is σ = 2642976. Its totient is φ = 470016.

The previous prime is 1135451. The next prime is 1135469. The reversal of 1135456 is 6545311.

1135456 = 14² + 15² + ... + 150².

1135456 is nontrivially palindromic in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 1135456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135451) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8220 + ... + 8356.

It is an arithmetic number, because the mean of its divisors is an integer number (55062).

2^1135456 is an apocalyptic number.

1135456 is a gapful number since it is divisible by the number (16) 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 1135456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321488).

1135456 is an abundant number, since it is smaller than the sum of its proper divisors (1507520).

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

1135456 is a wasteful number, since it uses less digits than its factorization.

1135456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 183 counting only the distinct ones).

The product of its digits is 1800, while the sum is 25.

The square root of 1135456 is about 1065.5777775461. The cubic root of 1135456 is about 104.3254107247.

The spelling of 1135456 in words is "one million, one hundred thirty-five thousand, four hundred fifty-six".