94891680 has 288 divisors, whose sum is σ = 360766224. Its totient is φ = 22560768.

The previous prime is 94891649. The next prime is 94891691. The reversal of 94891680 is 8619849.

94891680 is a `hidden beast` number, since 9 + 489 + 168 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 47941776 + 46949904 = 6924^2 + 6852^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×94891680³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 692572 + ... + 692708.

Almost surely, 2^94891680 is an apocalyptic number.

94891680 is a gapful number since it is divisible by the number (90) 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 94891680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180383112).

94891680 is an abundant number, since it is smaller than the sum of its proper divisors (265874544).

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

94891680 is a wasteful number, since it uses less digits than its factorization.

94891680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 94891680 is about 9741.2360611988. The cubic root of 94891680 is about 456.1167752637.

The spelling of 94891680 in words is "ninety-four million, eight hundred ninety-one thousand, six hundred eighty".