1269216 has 96 divisors (see below), whose sum is σ = 4021920. Its totient is φ = 387072.

The previous prime is 1269197. The next prime is 1269221. The reversal of 1269216 is 6129621.

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

It is a super-2 number, since 2×1269216² = 3221818509312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1269216.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 11176 + ... + 11288.

It is an arithmetic number, because the mean of its divisors is an integer number (41895).

2^1269216 is an apocalyptic number.

1269216 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 1269216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2010960).

1269216 is an abundant number, since it is smaller than the sum of its proper divisors (2752704).

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

1269216 is a wasteful number, since it uses less digits than its factorization.

1269216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 131 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 1269216 is about 1126.5948695072. The cubic root of 1269216 is about 108.2709247384.

It can be divided in two parts, 1269 and 216, that added together give a triangular number (1485 = T₅₄).

The spelling of 1269216 in words is "one million, two hundred sixty-nine thousand, two hundred sixteen".