33364560 has 160 divisors (see below), whose sum is σ = 109600128. Its totient is φ = 8386560.

The previous prime is 33364553. The next prime is 33364561. The reversal of 33364560 is 6546333.

It is a super-2 number, since 2×33364560² = 2226387727987200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33364561) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 546930 + ... + 546990.

Almost surely, 2^33364560 is an apocalyptic number.

33364560 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 33364560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54800064).

33364560 is an abundant number, since it is smaller than the sum of its proper divisors (76235568).

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

33364560 is a wasteful number, since it uses less digits than its factorization.

33364560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 30.

The square root of 33364560 is about 5776.2063675045. The cubic root of 33364560 is about 321.9302602204.

The spelling of 33364560 in words is "thirty-three million, three hundred sixty-four thousand, five hundred sixty".