33961120 has 96 divisors (see below), whose sum is σ = 85349376. Its totient is φ = 12748800.

The previous prime is 33961097. The next prime is 33961129. The reversal of 33961120 is 2116933.

33961120 is nontrivially palindromic in base 9.

It is not an unprimeable number, because it can be changed into a prime (33961129) 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, 203277 + ... + 203443.

It is an arithmetic number, because the mean of its divisors is an integer number (889056).

Almost surely, 2^33961120 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 33961120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42674688).

33961120 is an abundant number, since it is smaller than the sum of its proper divisors (51388256).

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

33961120 is a wasteful number, since it uses less digits than its factorization.

33961120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 33961120 is about 5827.6170086923. The cubic root of 33961120 is about 323.8376466485.

The spelling of 33961120 in words is "thirty-three million, nine hundred sixty-one thousand, one hundred twenty".