67380224 has 44 divisors (see below), whose sum is σ = 139400700. Its totient is φ = 32514048.

The previous prime is 67380223. The next prime is 67380227. The reversal of 67380224 is 42208376.

It can be written as a sum of positive squares in 2 ways, for example, as 16000000 + 51380224 = 4000^2 + 7168^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67380223) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28562 + ... + 30830.

Almost surely, 2^67380224 is an apocalyptic number.

67380224 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 67380224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69700350).

67380224 is an abundant number, since it is smaller than the sum of its proper divisors (72020476).

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

67380224 is a wasteful number, since it uses less digits than its factorization.

67380224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2318 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 67380224 is about 8208.5457908207. The cubic root of 67380224 is about 406.9216687266.

The spelling of 67380224 in words is "sixty-seven million, three hundred eighty thousand, two hundred twenty-four".