67533984 has 144 divisors (see below), whose sum is σ = 221981760. Its totient is φ = 19077120.

The previous prime is 67533967. The next prime is 67534039. The reversal of 67533984 is 48933576.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 280104 + ... + 280344.

It is an arithmetic number, because the mean of its divisors is an integer number (1541540).

Almost surely, 2^67533984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67533984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110990880).

67533984 is an abundant number, since it is smaller than the sum of its proper divisors (154447776).

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

67533984 is a wasteful number, since it uses less digits than its factorization.

67533984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 392 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 67533984 is about 8217.9063027027. The cubic root of 67533984 is about 407.2309619645.

The spelling of 67533984 in words is "sixty-seven million, five hundred thirty-three thousand, nine hundred eighty-four".