33260864 has 56 divisors (see below), whose sum is σ = 81247488. Its totient is φ = 13155840.

The previous prime is 33260827. The next prime is 33260867. The reversal of 33260864 is 46806233.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×33260864² = 2212570148052992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 33260864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33260867) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2969 + ... + 8679.

It is an arithmetic number, because the mean of its divisors is an integer number (1450848).

Almost surely, 2^33260864 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 33260864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40623744).

33260864 is an abundant number, since it is smaller than the sum of its proper divisors (47986624).

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

33260864 is a wasteful number, since it uses less digits than its factorization.

33260864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5743 (or 5733 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 33260864 is about 5767.2232486700. The cubic root of 33260864 is about 321.5963977386.

The spelling of 33260864 in words is "thirty-three million, two hundred sixty thousand, eight hundred sixty-four".