33361920 has 156 divisors (see below), whose sum is σ = 116279436. Its totient is φ = 8847360.

The previous prime is 33361897. The next prime is 33361927. The reversal of 33361920 is 2916333.

It can be written as a sum of positive squares in 2 ways, for example, as 4460544 + 28901376 = 2112^2 + 5376^2 .

It is a super-2 number, since 2×33361920² = 2226035412172800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33361927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184230 + ... + 184410.

It is an arithmetic number, because the mean of its divisors is an integer number (745381).

Almost surely, 2^33361920 is an apocalyptic number.

33361920 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 33361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58139718).

33361920 is an abundant number, since it is smaller than the sum of its proper divisors (82917516).

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

33361920 is a wasteful number, since it uses less digits than its factorization.

33361920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 33361920 is about 5775.9778392927. The cubic root of 33361920 is about 321.9217689919.

The spelling of 33361920 in words is "thirty-three million, three hundred sixty-one thousand, nine hundred twenty".