33804864 has 70 divisors (see below), whose sum is σ = 100223574. Its totient is φ = 11266560.

The previous prime is 33804863. The next prime is 33804889. The reversal of 33804864 is 46840833.

It can be written as a sum of positive squares in only one way, i.e., 33177600 + 627264 = 5760^2 + 792^2 .

It is a super-2 number, since 2×33804864² = 2285537660116992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (33804863) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1924 + ... + 8444.

Almost surely, 2^33804864 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 33804864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50111787).

33804864 is an abundant number, since it is smaller than the sum of its proper divisors (66418710).

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

33804864 is an equidigital number, since it uses as much as digits as its factorization.

33804864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6545 (or 6526 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 33804864 is about 5814.1950431681. The cubic root of 33804864 is about 323.3402211544.

The spelling of 33804864 in words is "thirty-three million, eight hundred four thousand, eight hundred sixty-four".