1295820 has 72 divisors (see below), whose sum is σ = 4114656. Its totient is φ = 329472.

The previous prime is 1295813. The next prime is 1295839. The reversal of 1295820 is 285921.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3984 + ... + 4296.

It is an arithmetic number, because the mean of its divisors is an integer number (57148).

2^1295820 is an apocalyptic number.

1295820 is a gapful number since it is divisible by the number (10) 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 1295820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2057328).

1295820 is an abundant number, since it is smaller than the sum of its proper divisors (2818836).

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

1295820 is a wasteful number, since it uses less digits than its factorization.

1295820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1295820 is about 1138.3408979739. The cubic root of 1295820 is about 109.0221877790.

The spelling of 1295820 in words is "one million, two hundred ninety-five thousand, eight hundred twenty".