1253160 has 72 divisors (see below), whose sum is σ = 4142970. Its totient is φ = 328512.

The previous prime is 1253137. The next prime is 1253167. The reversal of 1253160 is 613521.

It can be written as a sum of positive squares in only one way, i.e., 1127844 + 125316 = 1062^2 + 354^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1253167) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 21211 + ... + 21269.

2^1253160 is an apocalyptic number.

1253160 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 1253160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2071485).

1253160 is an abundant number, since it is smaller than the sum of its proper divisors (2889810).

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

1253160 is a wasteful number, since it uses less digits than its factorization.

1253160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1253160 is about 1119.4462916996. The cubic root of 1253160 is about 107.8124316320.

Adding to 1253160 its reverse (613521), we get a palindrome (1866681).

The spelling of 1253160 in words is "one million, two hundred fifty-three thousand, one hundred sixty".