1154880 has 84 divisors (see below), whose sum is σ = 3982212. Its totient is φ = 307200.

The previous prime is 1154863. The next prime is 1154887. The reversal of 1154880 is 884511.

It can be written as a sum of positive squares in 2 ways, for example, as 876096 + 278784 = 936^2 + 528^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1154887) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2680 + ... + 3080.

2^1154880 is an apocalyptic number.

1154880 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 1154880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1991106).

1154880 is an abundant number, since it is smaller than the sum of its proper divisors (2827332).

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

1154880 is a wasteful number, since it uses less digits than its factorization.

1154880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 1154880 is about 1074.6534325074. The cubic root of 1154880 is about 104.9169411174.

It can be divided in two parts, 11548 and 80, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 1154880 in words is "one million, one hundred fifty-four thousand, eight hundred eighty".