1153880 has 64 divisors (see below), whose sum is σ = 3205440. Its totient is φ = 364032.

The previous prime is 1153871. The next prime is 1153891. The reversal of 1153880 is 883511.

1153880 = 403² + 404² + ... + 409².

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3482 + ... + 3798.

It is an arithmetic number, because the mean of its divisors is an integer number (50085).

2^1153880 is an apocalyptic number.

1153880 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 1153880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602720).

1153880 is an abundant number, since it is smaller than the sum of its proper divisors (2051560).

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

1153880 is a wasteful number, since it uses less digits than its factorization.

1153880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 26.

The square root of 1153880 is about 1074.1880654708. The cubic root of 1153880 is about 104.8866501671.

The spelling of 1153880 in words is "one million, one hundred fifty-three thousand, eight hundred eighty".