33468552 has 160 divisors (see below), whose sum is σ = 105197400. Its totient is φ = 9870336.

The previous prime is 33468541. The next prime is 33468553. The reversal of 33468552 is 25586433.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 24860196 + 8608356 = 4986^2 + 2934^2 .

It is a super-2 number, since 2×33468552² = 2240287945953408, 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 (33468553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 244228 + ... + 244364.

Almost surely, 2^33468552 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 33468552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52598700).

33468552 is an abundant number, since it is smaller than the sum of its proper divisors (71728848).

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

33468552 is a wasteful number, since it uses less digits than its factorization.

33468552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 184 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 33468552 is about 5785.2011200995. The cubic root of 33468552 is about 322.2643817122.

It can be divided in two parts, 334 and 68552, that added together give a palindrome (68886).

The spelling of 33468552 in words is "thirty-three million, four hundred sixty-eight thousand, five hundred fifty-two".