33406416 has 60 divisors (see below), whose sum is σ = 94364868. Its totient is φ = 11031552.

The previous prime is 33406403. The next prime is 33406433. The reversal of 33406416 is 61460433.

It can be written as a sum of positive squares in 2 ways, for example, as 6780816 + 26625600 = 2604^2 + 5160^2 .

It is a super-2 number, since 2×33406416² = 2231977259930112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33406416.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15246 + ... + 17298.

Almost surely, 2^33406416 is an apocalyptic number.

33406416 is a gapful number since it is divisible by the number (36) 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 33406416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47182434).

33406416 is an abundant number, since it is smaller than the sum of its proper divisors (60958452).

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

33406416 is a wasteful number, since it uses less digits than its factorization.

33406416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 33406416 is about 5779.8283711543. The cubic root of 33406416 is about 322.0648249821.

Adding to 33406416 its reverse (61460433), we get a palindrome (94866849).

The spelling of 33406416 in words is "thirty-three million, four hundred six thousand, four hundred sixteen".