1295952 has 120 divisors (see below), whose sum is σ = 4240800. Its totient is φ = 338688.

The previous prime is 1295947. The next prime is 1295953. The reversal of 1295952 is 2595921.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (8100) is a multiple of the sum of its prime divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1295953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44674 + ... + 44702.

It is an arithmetic number, because the mean of its divisors is an integer number (35340).

2^1295952 is an apocalyptic number.

1295952 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 1295952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2120400).

1295952 is an abundant number, since it is smaller than the sum of its proper divisors (2944848).

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

1295952 is a wasteful number, since it uses less digits than its factorization.

1295952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 60 counting only the distinct ones).

The product of its digits is 8100, while the sum is 33.

The square root of 1295952 is about 1138.3988756143. The cubic root of 1295952 is about 109.0258895381.

The spelling of 1295952 in words is "one million, two hundred ninety-five thousand, nine hundred fifty-two".