68433984 has 140 divisors (see below), whose sum is σ = 208253584. Its totient is φ = 22208256.

The previous prime is 68433983. The next prime is 68434031. The reversal of 68433984 is 48933486.

It is a super-2 number, since 2×68433984² = 9366420332224512, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (68433983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 222759 + ... + 223065.

Almost surely, 2^68433984 is an apocalyptic number.

68433984 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 68433984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104126792).

68433984 is an abundant number, since it is smaller than the sum of its proper divisors (139819600).

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

68433984 is a wasteful number, since it uses less digits than its factorization.

68433984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 355 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 68433984 is about 8272.4835448612. The cubic root of 68433984 is about 409.0319895751.

The spelling of 68433984 in words is "sixty-eight million, four hundred thirty-three thousand, nine hundred eighty-four".