33720960 has 256 divisors, whose sum is σ = 132975360. Its totient is φ = 7077888.

The previous prime is 33720959. The next prime is 33720977. The reversal of 33720960 is 6902733.

It is a happy number.

It is a super-2 number, since 2×33720960² = 2274206286643200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174624 + ... + 174816.

It is an arithmetic number, because the mean of its divisors is an integer number (519435).

Almost surely, 2^33720960 is an apocalyptic number.

33720960 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 33720960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66487680).

33720960 is an abundant number, since it is smaller than the sum of its proper divisors (99254400).

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

33720960 is a wasteful number, since it uses less digits than its factorization.

33720960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 30.

The square root of 33720960 is about 5806.9751161857. The cubic root of 33720960 is about 323.0724883396.

The spelling of 33720960 in words is "thirty-three million, seven hundred twenty thousand, nine hundred sixty".