33769164 has 72 divisors (see below), whose sum is σ = 93323440. Its totient is φ = 9440640.

The previous prime is 33769163. The next prime is 33769193. The reversal of 33769164 is 46196733.

It is a super-2 number, since 2×33769164² = 2280712874517792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33769163) 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, 17982 + ... + 19770.

Almost surely, 2^33769164 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 33769164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46661720).

33769164 is an abundant number, since it is smaller than the sum of its proper divisors (59554276).

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

33769164 is a wasteful number, since it uses less digits than its factorization.

33769164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1831 (or 1818 counting only the distinct ones).

The product of its digits is 81648, while the sum is 39.

The square root of 33769164 is about 5811.1241597474. The cubic root of 33769164 is about 323.2263587258.

It can be divided in two parts, 33769 and 164, that added together give a palindrome (33933).

The spelling of 33769164 in words is "thirty-three million, seven hundred sixty-nine thousand, one hundred sixty-four".