67996224 has 84 divisors (see below), whose sum is σ = 197069964. Its totient is φ = 22413312.

The previous prime is 67996219. The next prime is 67996241. The reversal of 67996224 is 42269976.

It can be written as a sum of positive squares in 2 ways, for example, as 26625600 + 41370624 = 5160^2 + 6432^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 67996224.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55264 + ... + 56480.

It is an arithmetic number, because the mean of its divisors is an integer number (2346071).

Almost surely, 2^67996224 is an apocalyptic number.

67996224 is a gapful number since it is divisible by the number (64) 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 67996224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98534982).

67996224 is an abundant number, since it is smaller than the sum of its proper divisors (129073740).

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

67996224 is a wasteful number, since it uses less digits than its factorization.

67996224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1319 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 67996224 is about 8245.9822944268. The cubic root of 67996224 is about 408.1579549883.

The spelling of 67996224 in words is "sixty-seven million, nine hundred ninety-six thousand, two hundred twenty-four".