68094000 has 320 divisors, whose sum is σ = 265399680. Its totient is φ = 16588800.

The previous prime is 68093951. The next prime is 68094031. The reversal of 68094000 is 49086.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 701952 + ... + 702048.

It is an arithmetic number, because the mean of its divisors is an integer number (829374).

Almost surely, 2^68094000 is an apocalyptic number.

68094000 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 68094000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132699840).

68094000 is an abundant number, since it is smaller than the sum of its proper divisors (197305680).

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

68094000 is a wasteful number, since it uses less digits than its factorization.

68094000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 68094000 is about 8251.9088700736. The cubic root of 68094000 is about 408.3534998601.

The spelling of 68094000 in words is "sixty-eight million, ninety-four thousand".