33189840 has 120 divisors (see below), whose sum is σ = 115135488. Its totient is φ = 8559360.

The previous prime is 33189829. The next prime is 33189841. The reversal of 33189840 is 4898133.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×33189840² = 2203130958451200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 33189795 and 33189804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33189841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21577 + ... + 23063.

Almost surely, 2^33189840 is an apocalyptic number.

33189840 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 33189840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57567744).

33189840 is an abundant number, since it is smaller than the sum of its proper divisors (81945648).

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

33189840 is a wasteful number, since it uses less digits than its factorization.

33189840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1537 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 33189840 is about 5761.0624020227. The cubic root of 33189840 is about 321.3673263205.

The spelling of 33189840 in words is "thirty-three million, one hundred eighty-nine thousand, eight hundred forty".