1205776 has 80 divisors (see below), whose sum is σ = 2999808. Its totient is φ = 460800.

The previous prime is 1205773. The next prime is 1205779. The reversal of 1205776 is 6775021.

It is an interprime number because it is at equal distance from previous prime (1205773) and next prime (1205779).

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (1205773) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 38881 + ... + 38911.

2^1205776 is an apocalyptic number.

1205776 is a gapful number since it is divisible by the number (16) 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 1205776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499904).

1205776 is an abundant number, since it is smaller than the sum of its proper divisors (1794032).

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

1205776 is a wasteful number, since it uses less digits than its factorization.

1205776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 1205776 is about 1098.0783214325. The cubic root of 1205776 is about 106.4360817572.

The spelling of 1205776 in words is "one million, two hundred five thousand, seven hundred seventy-six".