94068800 has 168 divisors, whose sum is σ = 272881344. Its totient is φ = 31242240.

The previous prime is 94068743. The next prime is 94068809. The reversal of 94068800 is 886049.

94068800 = T₄₁₁ + T₄₁₂ + ... + T₈₅₈.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (94068809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 414287 + ... + 414513.

Almost surely, 2^94068800 is an apocalyptic number.

94068800 is the 5600-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136440672).

94068800 is an abundant number, since it is smaller than the sum of its proper divisors (178812544).

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

94068800 is a wasteful number, since it uses less digits than its factorization.

94068800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 94068800 is about 9698.9071549325. The cubic root of 94068800 is about 454.7944972231.

The spelling of 94068800 in words is "ninety-four million, sixty-eight thousand, eight hundred".