33263868 has 72 divisors (see below), whose sum is σ = 88184320. Its totient is φ = 9741600.

The previous prime is 33263831. The next prime is 33263869. The reversal of 33263868 is 86836233.

It is a super-2 number, since 2×33263868² = 2212969828642848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33263869) 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, 44643 + ... + 45381.

Almost surely, 2^33263868 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 33263868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44092160).

33263868 is an abundant number, since it is smaller than the sum of its proper divisors (54920452).

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

33263868 is a wasteful number, since it uses less digits than its factorization.

33263868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 786 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 33263868 is about 5767.4836800809. The cubic root of 33263868 is about 321.6060792519.

It can be divided in two parts, 33 and 263868, that added together give a triangular number (263901 = T₇₂₆).

The spelling of 33263868 in words is "thirty-three million, two hundred sixty-three thousand, eight hundred sixty-eight".