33189120 has 216 divisors, whose sum is σ = 119255136. Its totient is φ = 8515584.

The previous prime is 33189119. The next prime is 33189139. The reversal of 33189120 is 2198133.

It is a Cunningham number, because it is equal to 5761²-1.

It is a super-2 number, since 2×33189120² = 2203035372748800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 495327 + ... + 495393.

Almost surely, 2^33189120 is an apocalyptic number.

33189120 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 33189120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59627568).

33189120 is an abundant number, since it is smaller than the sum of its proper divisors (86066016).

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

33189120 is a wasteful number, since it uses less digits than its factorization.

33189120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 33189120 is about 5760.9999132095. Note that the first 4 decimals coincide. The cubic root of 33189120 is about 321.3650024552.

The spelling of 33189120 in words is "thirty-three million, one hundred eighty-nine thousand, one hundred twenty".