68789600 has 72 divisors (see below), whose sum is σ = 183222648. Its totient is φ = 25011200.

The previous prime is 68789597. The next prime is 68789603. The reversal of 68789600 is 698786.

It is an interprime number because it is at equal distance from previous prime (68789597) and next prime (68789603).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68789603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4892 + ... + 12708.

It is an arithmetic number, because the mean of its divisors is an integer number (2544759).

Almost surely, 2^68789600 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 68789600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91611324).

68789600 is an abundant number, since it is smaller than the sum of its proper divisors (114433048).

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

68789600 is a wasteful number, since it uses less digits than its factorization.

68789600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7848 (or 7835 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 44.

The square root of 68789600 is about 8293.9496019689. The cubic root of 68789600 is about 409.7392750454.

The spelling of 68789600 in words is "sixty-eight million, seven hundred eighty-nine thousand, six hundred".