1252992 has 64 divisors (see below), whose sum is σ = 3598560. Its totient is φ = 384000.

The previous prime is 1252991. The next prime is 1252997. The reversal of 1252992 is 2992521.

It is a tau number, because it is divible by the number of its divisors (64).

It is a d-powerful number, because it can be written as 1 + 2¹³ + 5⁷ + 2¹⁹ + 9⁵ + 9⁵ + 2¹⁹ .

It is not an unprimeable number, because it can be changed into a prime (1252991) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4867 + ... + 5117.

2^1252992 is an apocalyptic number.

1252992 is a gapful number since it is divisible by the number (12) 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 1252992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799280).

1252992 is an abundant number, since it is smaller than the sum of its proper divisors (2345568).

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

1252992 is a wasteful number, since it uses less digits than its factorization.

1252992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 269 counting only the distinct ones).

The product of its digits is 3240, while the sum is 30.

The square root of 1252992 is about 1119.3712520875. The cubic root of 1252992 is about 107.8076135992.

It can be divided in two parts, 12529 and 92, that added together give a palindrome (12621).

The spelling of 1252992 in words is "one million, two hundred fifty-two thousand, nine hundred ninety-two".