94956800 has 108 divisors (see below), whose sum is σ = 241987116. Its totient is φ = 36864000.

The previous prime is 94956793. The next prime is 94956821. The reversal of 94956800 is 865949.

It can be written as a sum of positive squares in 6 ways, for example, as 16386304 + 78570496 = 4048^2 + 8864^2 .

It is a super-3 number, since 3×94956800³ (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 236600 + ... + 237000.

Almost surely, 2^94956800 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 94956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120993558).

94956800 is an abundant number, since it is smaller than the sum of its proper divisors (147030316).

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

94956800 is a wasteful number, since it uses less digits than its factorization.

94956800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The square root of 94956800 is about 9744.5779795741. The cubic root of 94956800 is about 456.2210890544.

The spelling of 94956800 in words is "ninety-four million, nine hundred fifty-six thousand, eight hundred".