33164400 has 120 divisors (see below), whose sum is σ = 110015280. Its totient is φ = 8529920.

The previous prime is 33164333. The next prime is 33164407. The reversal of 33164400 is 446133.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33164407) 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, 34324 + ... + 35276.

It is an arithmetic number, because the mean of its divisors is an integer number (916794).

Almost surely, 2^33164400 is an apocalyptic number.

33164400 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 33164400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55007640).

33164400 is an abundant number, since it is smaller than the sum of its proper divisors (76850880).

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

33164400 is a wasteful number, since it uses less digits than its factorization.

33164400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 33164400 is about 5758.8540526740. The cubic root of 33164400 is about 321.2851960207.

The spelling of 33164400 in words is "thirty-three million, one hundred sixty-four thousand, four hundred".