1296792 has 96 divisors (see below), whose sum is σ = 4193280. Its totient is φ = 354240.

The previous prime is 1296787. The next prime is 1296803. The reversal of 1296792 is 2976921.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (13608) is a multiple of the sum of its prime divisors (126).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15583 + ... + 15665.

It is an arithmetic number, because the mean of its divisors is an integer number (43680).

2^1296792 is an apocalyptic number.

1296792 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 1296792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2096640).

1296792 is an abundant number, since it is smaller than the sum of its proper divisors (2896488).

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

1296792 is a wasteful number, since it uses less digits than its factorization.

1296792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 126 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 1296792 is about 1138.7677550756. The cubic root of 1296792 is about 109.0494402990.

The spelling of 1296792 in words is "one million, two hundred ninety-six thousand, seven hundred ninety-two".