33414960 has 80 divisors (see below), whose sum is σ = 107180640. Its totient is φ = 8601600.

The previous prime is 33414949. The next prime is 33414967. The reversal of 33414960 is 6941433.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×33414960² = 2233119103603200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (33414967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4560 + ... + 9360.

It is an arithmetic number, because the mean of its divisors is an integer number (1339758).

Almost surely, 2^33414960 is an apocalyptic number.

33414960 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 33414960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53590320).

33414960 is an abundant number, since it is smaller than the sum of its proper divisors (73765680).

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

33414960 is a wasteful number, since it uses less digits than its factorization.

33414960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4846 (or 4840 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 33414960 is about 5780.5674461942. The cubic root of 33414960 is about 322.0922796613.

The spelling of 33414960 in words is "thirty-three million, four hundred fourteen thousand, nine hundred sixty".