68793984 has 192 divisors, whose sum is σ = 238680000. Its totient is φ = 18579456.

The previous prime is 68793983. The next prime is 68794001. The reversal of 68793984 is 48939786.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×68793984² = 9465224469184512, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a plaindrome in base 13.

It is a zygodrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 68793984.

It is not an unprimeable number, because it can be changed into a prime (68793983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152992 + ... + 153440.

It is an arithmetic number, because the mean of its divisors is an integer number (1243125).

Almost surely, 2^68793984 is an apocalyptic number.

68793984 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 68793984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119340000).

68793984 is an abundant number, since it is smaller than the sum of its proper divisors (169886016).

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

68793984 is a wasteful number, since it uses less digits than its factorization.

68793984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 480 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 68793984 is about 8294.2138868008. The cubic root of 68793984 is about 409.7479791655.

The spelling of 68793984 in words is "sixty-eight million, seven hundred ninety-three thousand, nine hundred eighty-four".