1278816 has 96 divisors (see below), whose sum is σ = 4209408. Its totient is φ = 330240.

The previous prime is 1278811. The next prime is 1278817. The reversal of 1278816 is 6188721.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a Harshad number since it is a multiple of its sum of digits (33).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1278811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7306 + ... + 7478.

It is an arithmetic number, because the mean of its divisors is an integer number (43848).

2^1278816 is an apocalyptic number.

1278816 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 1278816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2104704).

1278816 is an abundant number, since it is smaller than the sum of its proper divisors (2930592).

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

1278816 is a wasteful number, since it uses less digits than its factorization.

1278816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 196 counting only the distinct ones).

The product of its digits is 5376, while the sum is 33.

The square root of 1278816 is about 1130.8474698208. The cubic root of 1278816 is about 108.5432165189.

The spelling of 1278816 in words is "one million, two hundred seventy-eight thousand, eight hundred sixteen".