1134880 has 48 divisors (see below), whose sum is σ = 2762424. Its totient is φ = 440320.

The previous prime is 1134877. The next prime is 1134883. The reversal of 1134880 is 884311.

It is an interprime number because it is at equal distance from previous prime (1134877) and next prime (1134883).

It can be written as a sum of positive squares in 4 ways, for example, as 868624 + 266256 = 932^2 + 516^2 .

It is a super-2 number, since 2×1134880² = 2575905228800, which contains 22 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1134883) 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, 6474 + ... + 6646.

2^1134880 is an apocalyptic number.

1134880 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 1134880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381212).

1134880 is an abundant number, since it is smaller than the sum of its proper divisors (1627544).

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

1134880 is a wasteful number, since it uses less digits than its factorization.

1134880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 1134880 is about 1065.3074673539. The cubic root of 1134880 is about 104.3077668293.

The spelling of 1134880 in words is "one million, one hundred thirty-four thousand, eight hundred eighty".