1216824 has 32 divisors (see below), whose sum is σ = 3477120. Its totient is φ = 347616.

The previous prime is 1216823. The next prime is 1216841. The reversal of 1216824 is 4286121.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 1216794 and 1216803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1216823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3454 + ... + 3789.

It is an arithmetic number, because the mean of its divisors is an integer number (108660).

2^1216824 is an apocalyptic number.

1216824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1216824 is an abundant number, since it is smaller than the sum of its proper divisors (2260296).

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

1216824 is a wasteful number, since it uses less digits than its factorization.

1216824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7259 (or 7255 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 1216824 is about 1103.0974571632. The cubic root of 1216824 is about 106.7601697482.

It can be divided in two parts, 12 and 16824, that added together give a triangular number (16836 = T₁₈₃).

The spelling of 1216824 in words is "one million, two hundred sixteen thousand, eight hundred twenty-four".