33984960 has 56 divisors (see below), whose sum is σ = 107905296. Its totient is φ = 9062400.

The previous prime is 33984947. The next prime is 33984971. The reversal of 33984960 is 6948933.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16741 + ... + 18660.

Almost surely, 2^33984960 is an apocalyptic number.

33984960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33984960 is an abundant number, since it is smaller than the sum of its proper divisors (73920336).

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

33984960 is a wasteful number, since it uses less digits than its factorization.

33984960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35421 (or 35411 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 33984960 is about 5829.6620828312. The cubic root of 33984960 is about 323.9134046889.

The spelling of 33984960 in words is "thirty-three million, nine hundred eighty-four thousand, nine hundred sixty".