67233984 has 56 divisors (see below), whose sum is σ = 180075840. Its totient is φ = 22136064.

The previous prime is 67233979. The next prime is 67234003. The reversal of 67233984 is 48933276.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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, 13827 + ... + 18045.

It is an arithmetic number, because the mean of its divisors is an integer number (3215640).

Almost surely, 2^67233984 is an apocalyptic number.

67233984 is a gapful number since it is divisible by the number (64) 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 67233984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90037920).

67233984 is an abundant number, since it is smaller than the sum of its proper divisors (112841856).

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

67233984 is a wasteful number, since it uses less digits than its factorization.

67233984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4317 (or 4307 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 67233984 is about 8199.6331625262. The cubic root of 67233984 is about 406.6270653306.

The spelling of 67233984 in words is "sixty-seven million, two hundred thirty-three thousand, nine hundred eighty-four".