33424160 has 96 divisors (see below), whose sum is σ = 98485632. Its totient is φ = 10414080.

The previous prime is 33424123. The next prime is 33424207. The reversal of 33424160 is 6142433.

It is a happy number.

It is a super-2 number, since 2×33424160² = 2234348943411200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10964 + ... + 13676.

It is an arithmetic number, because the mean of its divisors is an integer number (1025892).

Almost surely, 2^33424160 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 33424160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49242816).

33424160 is an abundant number, since it is smaller than the sum of its proper divisors (65061472).

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

33424160 is a wasteful number, since it uses less digits than its factorization.

33424160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2746 (or 2738 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 33424160 is about 5781.3631610547. The cubic root of 33424160 is about 322.1218370518.

Adding to 33424160 its reverse (6142433), we get a palindrome (39566593).

The spelling of 33424160 in words is "thirty-three million, four hundred twenty-four thousand, one hundred sixty".