33407220 has 144 divisors (see below), whose sum is σ = 118819008. Its totient is φ = 6935040.

The previous prime is 33407203. The next prime is 33407221. The reversal of 33407220 is 2270433.

It is a happy number.

It is a super-2 number, since 2×33407220² = 2232084696256800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33407221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31824 + ... + 32856.

It is an arithmetic number, because the mean of its divisors is an integer number (825132).

Almost surely, 2^33407220 is an apocalyptic number.

33407220 is a gapful number since it is divisible by the number (30) 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 33407220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59409504).

33407220 is an abundant number, since it is smaller than the sum of its proper divisors (85411788).

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

33407220 is a wasteful number, since it uses less digits than its factorization.

33407220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 33407220 is about 5779.8979229741. The cubic root of 33407220 is about 322.0674086978.

Adding to 33407220 its reverse (2270433), we get a palindrome (35677653).

It can be divided in two parts, 33 and 407220, that added together give a triangular number (407253 = T₉₀₂).

The spelling of 33407220 in words is "thirty-three million, four hundred seven thousand, two hundred twenty".