68094900 has 108 divisors (see below), whose sum is σ = 220884300. Its totient is φ = 17525760.

The previous prime is 68094863. The next prime is 68094947. The reversal of 68094900 is 949086.

It can be written as a sum of positive squares in 6 ways, for example, as 1313316 + 66781584 = 1146^2 + 8172^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24796 + ... + 27404.

It is an arithmetic number, because the mean of its divisors is an integer number (2045225).

Almost surely, 2^68094900 is an apocalyptic number.

68094900 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 68094900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110442150).

68094900 is an abundant number, since it is smaller than the sum of its proper divisors (152789400).

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

68094900 is a wasteful number, since it uses less digits than its factorization.

68094900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2658 (or 2648 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 68094900 is about 8251.9634027303. The cubic root of 68094900 is about 408.3552989248.

The spelling of 68094900 in words is "sixty-eight million, ninety-four thousand, nine hundred".