68824896 has 112 divisors (see below), whose sum is σ = 213360000. Its totient is φ = 19169280.

The previous prime is 68824883. The next prime is 68824919. The reversal of 68824896 is 69842886.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×68824896³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54480 + ... + 55728.

It is an arithmetic number, because the mean of its divisors is an integer number (1905000).

Almost surely, 2^68824896 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 68824896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106680000).

68824896 is an abundant number, since it is smaller than the sum of its proper divisors (144535104).

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

68824896 is a wasteful number, since it uses less digits than its factorization.

68824896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 1302 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 51.

The square root of 68824896 is about 8296.0771452537. The cubic root of 68824896 is about 409.8093422486.

The spelling of 68824896 in words is "sixty-eight million, eight hundred twenty-four thousand, eight hundred ninety-six".