33766040 has 128 divisors (see below), whose sum is σ = 99878400. Its totient is φ = 9953280.

The previous prime is 33766039. The next prime is 33766043. The reversal of 33766040 is 4066733.

It is a super-2 number, since 2×33766040² = 2280290914563200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33765994 and 33766012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33766043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58232 + ... + 58808.

It is an arithmetic number, because the mean of its divisors is an integer number (780300).

Almost surely, 2^33766040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33766040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49939200).

33766040 is an abundant number, since it is smaller than the sum of its proper divisors (66112360).

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

33766040 is a wasteful number, since it uses less digits than its factorization.

33766040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 29.

The square root of 33766040 is about 5810.8553587230. The cubic root of 33766040 is about 323.2163911483.

The spelling of 33766040 in words is "thirty-three million, seven hundred sixty-six thousand, forty".