33013920 has 96 divisors (see below), whose sum is σ = 105114240. Its totient is φ = 8709120.

The previous prime is 33013913. The next prime is 33013921. The reversal of 33013920 is 2931033.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33013921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52005 + ... + 52635.

It is an arithmetic number, because the mean of its divisors is an integer number (1094940).

Almost surely, 2^33013920 is an apocalyptic number.

33013920 is a gapful number since it is divisible by the number (30) 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 33013920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52557120).

33013920 is an abundant number, since it is smaller than the sum of its proper divisors (72100320).

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

33013920 is a wasteful number, since it uses less digits than its factorization.

33013920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

The square root of 33013920 is about 5745.7740992838. The cubic root of 33013920 is about 320.7985265364.

Adding to 33013920 its reverse (2931033), we get a palindrome (35944953).

It can be divided in two parts, 33013 and 920, that added together give a palindrome (33933).

The spelling of 33013920 in words is "thirty-three million, thirteen thousand, nine hundred twenty".