33001920 has 168 divisors, whose sum is σ = 129808224. Its totient is φ = 7538688.

The previous prime is 33001909. The next prime is 33001933. The reversal of 33001920 is 2910033.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a junction number, because it is equal to n+sod(n) for n = 33001893 and 33001902.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19342 + ... + 20978.

It is an arithmetic number, because the mean of its divisors is an integer number (772668).

Almost surely, 2^33001920 is an apocalyptic number.

33001920 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 33001920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64904112).

33001920 is an abundant number, since it is smaller than the sum of its proper divisors (96806304).

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

33001920 is a wasteful number, since it uses less digits than its factorization.

33001920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 33001920 is about 5744.7297586571. The cubic root of 33001920 is about 320.7596535516.

Adding to 33001920 its reverse (2910033), we get a palindrome (35911953).

The spelling of 33001920 in words is "thirty-three million, one thousand, nine hundred twenty".