33006420 has 96 divisors (see below), whose sum is σ = 108124800. Its totient is φ = 8335872.

The previous prime is 33006419. The next prime is 33006427. The reversal of 33006420 is 2460033.

It is a super-2 number, since 2×33006420² = 2178847522432800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 33006393 and 33006402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33006427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8652 + ... + 11868.

It is an arithmetic number, because the mean of its divisors is an integer number (1126300).

Almost surely, 2^33006420 is an apocalyptic number.

33006420 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 33006420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54062400).

33006420 is an abundant number, since it is smaller than the sum of its proper divisors (75118380).

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

33006420 is a wasteful number, since it uses less digits than its factorization.

33006420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3254 (or 3246 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 33006420 is about 5745.1214086388. The cubic root of 33006420 is about 320.7742320250.

Adding to 33006420 its reverse (2460033), we get a palindrome (35466453).

The spelling of 33006420 in words is "thirty-three million, six thousand, four hundred twenty".