33960960 has 264 divisors, whose sum is σ = 130287456. Its totient is φ = 8110080.

The previous prime is 33960959. The next prime is 33960973. The reversal of 33960960 is 6906933.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 506847 + ... + 506913.

Almost surely, 2^33960960 is an apocalyptic number.

33960960 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 33960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65143728).

33960960 is an abundant number, since it is smaller than the sum of its proper divisors (96326496).

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

33960960 is a wasteful number, since it uses less digits than its factorization.

33960960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 33960960 is about 5827.6032809381. The cubic root of 33960960 is about 323.8371380855.

The spelling of 33960960 in words is "thirty-three million, nine hundred sixty thousand, nine hundred sixty".