1253880 has 112 divisors (see below), whose sum is σ = 4328280. Its totient is φ = 326592.

The previous prime is 1253851. The next prime is 1253887. The reversal of 1253880 is 883521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1253887) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 29139 + ... + 29181.

2^1253880 is an apocalyptic number.

1253880 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 1253880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2164140).

1253880 is an abundant number, since it is smaller than the sum of its proper divisors (3074400).

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

1253880 is an equidigital number, since it uses as much as digits as its factorization.

1253880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1253880 is about 1119.7678330797. The cubic root of 1253880 is about 107.8330754681.

It can be divided in two parts, 125 and 3880, that added together give a triangular number (4005 = T₈₉).

The spelling of 1253880 in words is "one million, two hundred fifty-three thousand, eight hundred eighty".