33055400 has 72 divisors (see below), whose sum is σ = 89427870. Its totient is φ = 11329920.

The previous prime is 33055397. The next prime is 33055409. The reversal of 33055400 is 455033.

It can be written as a sum of positive squares in 3 ways, for example, as 31832164 + 1223236 = 5642^2 + 1106^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (33055409) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8114 + ... + 11486.

Almost surely, 2^33055400 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 33055400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44713935).

33055400 is an abundant number, since it is smaller than the sum of its proper divisors (56372470).

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

33055400 is a wasteful number, since it uses less digits than its factorization.

33055400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3403 (or 3387 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 33055400 is about 5749.3825755467. The cubic root of 33055400 is about 320.9328249751.

The spelling of 33055400 in words is "thirty-three million, fifty-five thousand, four hundred".