33135696 has 160 divisors (see below), whose sum is σ = 109516800. Its totient is φ = 9486720.

The previous prime is 33135643. The next prime is 33135731. The reversal of 33135696 is 69653133.

33135696 = 114² + 115² + ... + 465².

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

It is a self number, because there is not a number n which added to its sum of digits gives 33135696.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 90105 + ... + 90471.

It is an arithmetic number, because the mean of its divisors is an integer number (684480).

Almost surely, 2^33135696 is an apocalyptic number.

33135696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33135696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54758400).

33135696 is an abundant number, since it is smaller than the sum of its proper divisors (76381104).

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

33135696 is a wasteful number, since it uses less digits than its factorization.

33135696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 402 counting only the distinct ones).

The product of its digits is 43740, while the sum is 36.

The square root of 33135696 is about 5756.3613507145. The cubic root of 33135696 is about 321.1924778031.

It can be divided in two parts, 3313 and 5696, that added together give a palindrome (9009).

The spelling of 33135696 in words is "thirty-three million, one hundred thirty-five thousand, six hundred ninety-six".