68824600 has 96 divisors (see below), whose sum is σ = 174676320. Its totient is φ = 25067520.

The previous prime is 68824597. The next prime is 68824607. The reversal of 68824600 is 642886.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68824607) 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, 267672 + ... + 267928.

It is an arithmetic number, because the mean of its divisors is an integer number (1819545).

Almost surely, 2^68824600 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 68824600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87338160).

68824600 is an abundant number, since it is smaller than the sum of its proper divisors (105851720).

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

68824600 is a wasteful number, since it uses less digits than its factorization.

68824600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 68824600 is about 8296.0593054775. The cubic root of 68824600 is about 409.8087547493.

The spelling of 68824600 in words is "sixty-eight million, eight hundred twenty-four thousand, six hundred".