33405064 has 96 divisors (see below), whose sum is σ = 81423360. Its totient is φ = 12700800.

The previous prime is 33405049. The next prime is 33405067. The reversal of 33405064 is 46050433.

It is a super-2 number, since 2×33405064² = 2231796601688192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33405067) 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, 262969 + ... + 263095.

It is an arithmetic number, because the mean of its divisors is an integer number (848160).

Almost surely, 2^33405064 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 33405064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40711680).

33405064 is an abundant number, since it is smaller than the sum of its proper divisors (48018296).

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

33405064 is a wasteful number, since it uses less digits than its factorization.

33405064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 33405064 is about 5779.7114114807. The cubic root of 33405064 is about 322.0604801329.

Adding to 33405064 its reverse (46050433), we get a palindrome (79455497).

The spelling of 33405064 in words is "thirty-three million, four hundred five thousand, sixty-four".