1253088 has 72 divisors (see below), whose sum is σ = 3767400. Its totient is φ = 393984.

The previous prime is 1253071. The next prime is 1253089. The reversal of 1253088 is 8803521.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1253089) 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, 5358 + ... + 5586.

It is an arithmetic number, because the mean of its divisors is an integer number (52325).

2^1253088 is an apocalyptic number.

1253088 is a gapful number since it is divisible by the number (18) 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 1253088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1883700).

1253088 is an abundant number, since it is smaller than the sum of its proper divisors (2514312).

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

1253088 is a wasteful number, since it uses less digits than its factorization.

1253088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 253 counting only the distinct ones).

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

The square root of 1253088 is about 1119.4141324818. The cubic root of 1253088 is about 107.8103668135.

It can be divided in two parts, 125308 and 8, that added together give a square (125316 = 354²).

The spelling of 1253088 in words is "one million, two hundred fifty-three thousand, eighty-eight".