1249952 has 48 divisors (see below), whose sum is σ = 2776032. Its totient is φ = 549120.

The previous prime is 1249943. The next prime is 1249999. The reversal of 1249952 is 2599421.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 1 + 2¹⁷ + 4⁶ + 9⁵ + 9⁶ + 5 + 2¹⁹ .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18623 + ... + 18689.

It is an arithmetic number, because the mean of its divisors is an integer number (57834).

2^1249952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1249952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388016).

1249952 is an abundant number, since it is smaller than the sum of its proper divisors (1526080).

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

1249952 is a wasteful number, since it uses less digits than its factorization.

1249952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 133 counting only the distinct ones).

The product of its digits is 6480, while the sum is 32.

The square root of 1249952 is about 1118.0125222912. The cubic root of 1249952 is about 107.7203556457.

The spelling of 1249952 in words is "one million, two hundred forty-nine thousand, nine hundred fifty-two".