33493968 has 30 divisors (see below), whose sum is σ = 93736994. Its totient is φ = 11164608.

The previous prime is 33493963. The next prime is 33493969. The reversal of 33493968 is 86939433.

It can be written as a sum of positive squares in only one way, i.e., 32353344 + 1140624 = 5688^2 + 1068^2 .

It is a super-2 number, since 2×33493968² = 2243691784770048, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33493963) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 116155 + ... + 116442.

Almost surely, 2^33493968 is an apocalyptic number.

It is an amenable number.

33493968 is an abundant number, since it is smaller than the sum of its proper divisors (60243026).

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

33493968 is a wasteful number, since it uses less digits than its factorization.

33493968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232611 (or 232602 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 33493968 is about 5787.3973425021. The cubic root of 33493968 is about 322.3459368695.

The spelling of 33493968 in words is "thirty-three million, four hundred ninety-three thousand, nine hundred sixty-eight".