33640224 has 48 divisors (see below), whose sum is σ = 88976160. Its totient is φ = 11128320.

The previous prime is 33640223. The next prime is 33640259. The reversal of 33640224 is 42204633.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×33640224² = 2263329341540352, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 33640194 and 33640203.

It is not an unprimeable number, because it can be changed into a prime (33640223) 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, 12084 + ... + 14604.

It is an arithmetic number, because the mean of its divisors is an integer number (1853670).

Almost surely, 2^33640224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33640224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44488080).

33640224 is an abundant number, since it is smaller than the sum of its proper divisors (55335936).

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

33640224 is a wasteful number, since it uses less digits than its factorization.

33640224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2673 (or 2665 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 33640224 is about 5800.0193103127. The cubic root of 33640224 is about 322.8144448268.

Adding to 33640224 its reverse (42204633), we get a palindrome (75844857).

The spelling of 33640224 in words is "thirty-three million, six hundred forty thousand, two hundred twenty-four".