1292816 has 60 divisors (see below), whose sum is σ = 3116988. Its totient is φ = 516096.

The previous prime is 1292813. The next prime is 1292831. The reversal of 1292816 is 6182921.

1292816 = 64² + 65² + ... + 160².

It can be written as a sum of positive squares in 2 ways, for example, as 802816 + 490000 = 896^2 + 700^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1292813) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13280 + ... + 13376.

2^1292816 is an apocalyptic number.

1292816 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 1292816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558494).

1292816 is an abundant number, since it is smaller than the sum of its proper divisors (1824172).

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

1292816 is a wasteful number, since it uses less digits than its factorization.

1292816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 123 counting only the distinct ones).

The product of its digits is 1728, while the sum is 29.

The square root of 1292816 is about 1137.0206682378. The cubic root of 1292816 is about 108.9378766727.

The spelling of 1292816 in words is "one million, two hundred ninety-two thousand, eight hundred sixteen".