68889600 has 396 divisors, whose sum is σ = 277180176. Its totient is φ = 16220160.

The previous prime is 68889581. The next prime is 68889607. The reversal of 68889600 is 698886.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68889607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2995189 + ... + 2995211.

Almost surely, 2^68889600 is an apocalyptic number.

68889600 is a gapful number since it is divisible by the number (60) 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 68889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138590088).

68889600 is an abundant number, since it is smaller than the sum of its proper divisors (208290576).

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

68889600 is a wasteful number, since it uses less digits than its factorization.

68889600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 68889600 is about 8299.9759035795. The cubic root of 68889600 is about 409.9377260167.

The spelling of 68889600 in words is "sixty-eight million, eight hundred eighty-nine thousand, six hundred".