67989824 has 56 divisors (see below), whose sum is σ = 157520640. Its totient is φ = 28509696.

The previous prime is 67989821. The next prime is 67989827. The reversal of 67989824 is 42898976.

It is an interprime number because it is at equal distance from previous prime (67989821) and next prime (67989827).

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67989821) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19442 + ... + 22670.

Almost surely, 2^67989824 is an apocalyptic number.

67989824 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 67989824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78760320).

67989824 is an abundant number, since it is smaller than the sum of its proper divisors (89530816).

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

67989824 is a wasteful number, since it uses less digits than its factorization.

67989824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3295 (or 3285 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 53.

The square root of 67989824 is about 8245.5942175200. The cubic root of 67989824 is about 408.1451489200.

The spelling of 67989824 in words is "sixty-seven million, nine hundred eighty-nine thousand, eight hundred twenty-four".