33368064 has 48 divisors (see below), whose sum is σ = 88976160. Its totient is φ = 11120640.

The previous prime is 33368063. The next prime is 33368113. The reversal of 33368064 is 46086333.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×33368064² = 2226855390216192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33368063) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3429 + ... + 8859.

It is an arithmetic number, because the mean of its divisors is an integer number (1853670).

Almost surely, 2^33368064 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 33368064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44488080).

33368064 is an abundant number, since it is smaller than the sum of its proper divisors (55608096).

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

33368064 is an equidigital number, since it uses as much as digits as its factorization.

33368064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5456 (or 5436 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 33368064 is about 5776.5096728042. The cubic root of 33368064 is about 321.9415297046.

The spelling of 33368064 in words is "thirty-three million, three hundred sixty-eight thousand, sixty-four".