33073920 has 360 divisors, whose sum is σ = 133554960. Its totient is φ = 7741440.

The previous prime is 33073907. The next prime is 33073933. The reversal of 33073920 is 2937033.

It is an interprime number because it is at equal distance from previous prime (33073907) and next prime (33073933).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1140466 + ... + 1140494.

It is an arithmetic number, because the mean of its divisors is an integer number (370986).

Almost surely, 2^33073920 is an apocalyptic number.

33073920 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 33073920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66777480).

33073920 is an abundant number, since it is smaller than the sum of its proper divisors (100481040).

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

33073920 is a wasteful number, since it uses less digits than its factorization.

33073920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 27.

The square root of 33073920 is about 5750.9929577422. The cubic root of 33073920 is about 320.9927502948.

It can be divided in two parts, 3307 and 3920, that added together give a palindrome (7227).

The spelling of 33073920 in words is "thirty-three million, seventy-three thousand, nine hundred twenty".