1036224 has 84 divisors (see below), whose sum is σ = 3407664. Its totient is φ = 294912.

The previous prime is 1036223. The next prime is 1036229. The reversal of 1036224 is 4226301.

1036224 = T₁₄₇ + T₁₄₈ + ... + T₂₁₀.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-3 number, since 3×1036224³ = 3337968200610742272, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 1036197 and 1036206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1036223) 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, 3904 + ... + 4160.

2^1036224 is an apocalyptic number.

1036224 is a gapful number since it is divisible by the number (14) 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 1036224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703832).

1036224 is an abundant number, since it is smaller than the sum of its proper divisors (2371440).

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

1036224 is a wasteful number, since it uses less digits than its factorization.

1036224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1036224 is about 1017.9508829015. The cubic root of 1036224 is about 101.1931734161.

The spelling of 1036224 in words is "one million, thirty-six thousand, two hundred twenty-four".