33144968 has 64 divisors (see below), whose sum is σ = 70502400. Its totient is φ = 14515200.

The previous prime is 33144919. The next prime is 33144977. The reversal of 33144968 is 86944133.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260921 + ... + 261047.

It is an arithmetic number, because the mean of its divisors is an integer number (1101600).

Almost surely, 2^33144968 is an apocalyptic number.

33144968 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

33144968 is an abundant number, since it is smaller than the sum of its proper divisors (37357432).

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

33144968 is a wasteful number, since it uses less digits than its factorization.

33144968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 266 counting only the distinct ones).

The product of its digits is 62208, while the sum is 38.

The square root of 33144968 is about 5757.1666642542. The cubic root of 33144968 is about 321.2224336039. Note that the first 3 decimals are identical.

The spelling of 33144968 in words is "thirty-three million, one hundred forty-four thousand, nine hundred sixty-eight".