33366420 has 36 divisors (see below), whose sum is σ = 101212020. Its totient is φ = 8897664.

The previous prime is 33366407. The next prime is 33366457. The reversal of 33366420 is 2466333.

It can be written as a sum of positive squares in 2 ways, for example, as 17589636 + 15776784 = 4194^2 + 3972^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×33366420² = 2226635967232800, 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 (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92505 + ... + 92864.

It is an arithmetic number, because the mean of its divisors is an integer number (2811445).

Almost surely, 2^33366420 is an apocalyptic number.

33366420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33366420 is an abundant number, since it is smaller than the sum of its proper divisors (67845600).

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

33366420 is a wasteful number, since it uses less digits than its factorization.

33366420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185384 (or 185379 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 33366420 is about 5776.3673705885. The cubic root of 33366420 is about 321.9362424078.

The spelling of 33366420 in words is "thirty-three million, three hundred sixty-six thousand, four hundred twenty".