68900 has 36 divisors (see below), whose sum is σ = 164052. Its totient is φ = 24960.

The previous prime is 68899. The next prime is 68903. The reversal of 68900 is 986.

68900 = 40² + 41² + ... + 64².

It can be written as a sum of positive squares in 6 ways, for example, as 3364 + 65536 = 58^2 + 256^2 .

It is a plaindrome in base 9.

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68903) 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, 1274 + ... + 1326.

It is an arithmetic number, because the mean of its divisors is an integer number (4557).

2⁶⁸⁹⁰⁰ 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 68900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82026).

68900 is an abundant number, since it is smaller than the sum of its proper divisors (95152).

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

68900 is a wasteful number, since it uses less digits than its factorization.

68900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 68900 is about 262.4880949681. The cubic root of 68900 is about 40.9958353890.

The spelling of 68900 in words is "sixty-eight thousand, nine hundred".