97891200 has 384 divisors, whose sum is σ = 394617600. Its totient is φ = 23500800.

The previous prime is 97891193. The next prime is 97891223. The reversal of 97891200 is 219879.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 950349 + ... + 950451.

It is an arithmetic number, because the mean of its divisors is an integer number (1027650).

Almost surely, 2^97891200 is an apocalyptic number.

97891200 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 97891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197308800).

97891200 is an abundant number, since it is smaller than the sum of its proper divisors (296726400).

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

97891200 is a wasteful number, since it uses less digits than its factorization.

97891200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 97891200 is about 9893.9981807154. The cubic root of 97891200 is about 460.8729485205.

Adding to 97891200 its sum of digits (36), we get a square (97891236 = 9894²).

The spelling of 97891200 in words is "ninety-seven million, eight hundred ninety-one thousand, two hundred".