94975200 has 144 divisors (see below), whose sum is σ = 343571760. Its totient is φ = 25320960.

The previous prime is 94975171. The next prime is 94975207. The reversal of 94975200 is 257949.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94975207) 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, 19402 + ... + 23798.

It is an arithmetic number, because the mean of its divisors is an integer number (2385915).

Almost surely, 2^94975200 is an apocalyptic number.

94975200 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 94975200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171785880).

94975200 is an abundant number, since it is smaller than the sum of its proper divisors (248596560).

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

94975200 is a wasteful number, since it uses less digits than its factorization.

94975200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4426 (or 4407 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 94975200 is about 9745.5220486129. The cubic root of 94975200 is about 456.2505548251.

The spelling of 94975200 in words is "ninety-four million, nine hundred seventy-five thousand, two hundred".