33089940 has 144 divisors (see below), whose sum is σ = 110073600. Its totient is φ = 7997184.

The previous prime is 33089929. The next prime is 33089941. The reversal of 33089940 is 4998033.

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 = 33089895 and 33089904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33089941) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184771 + ... + 184949.

It is an arithmetic number, because the mean of its divisors is an integer number (764400).

Almost surely, 2^33089940 is an apocalyptic number.

33089940 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 33089940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55036800).

33089940 is an abundant number, since it is smaller than the sum of its proper divisors (76983660).

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

33089940 is a wasteful number, since it uses less digits than its factorization.

33089940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 33089940 is about 5752.3855920826. The cubic root of 33089940 is about 321.0445683015.

The spelling of 33089940 in words is "thirty-three million, eighty-nine thousand, nine hundred forty".