33161040 has 240 divisors, whose sum is σ = 125349120. Its totient is φ = 7787520.

The previous prime is 33161021. The next prime is 33161057. The reversal of 33161040 is 4016133.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 419721 + ... + 419799.

It is an arithmetic number, because the mean of its divisors is an integer number (522288).

Almost surely, 2^33161040 is an apocalyptic number.

33161040 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 33161040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62674560).

33161040 is an abundant number, since it is smaller than the sum of its proper divisors (92188080).

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

33161040 is a wasteful number, since it uses less digits than its factorization.

33161040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 33161040 is about 5758.5623205797. The cubic root of 33161040 is about 321.2743454830.

Adding to 33161040 its reverse (4016133), we get a palindrome (37177173).

It can be divided in two parts, 3316 and 1040, that added together give a square (4356 = 66²).

The spelling of 33161040 in words is "thirty-three million, one hundred sixty-one thousand, forty".