97927200 has 432 divisors, whose sum is σ = 414348480. Its totient is φ = 21288960.

The previous prime is 97927183. The next prime is 97927201. The reversal of 97927200 is 272979.

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 (97927201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1461567 + ... + 1461633.

It is an arithmetic number, because the mean of its divisors is an integer number (959140).

Almost surely, 2^97927200 is an apocalyptic number.

97927200 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 97927200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207174240).

97927200 is an abundant number, since it is smaller than the sum of its proper divisors (316421280).

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

97927200 is a wasteful number, since it uses less digits than its factorization.

97927200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 97927200 is about 9895.8172982326. The cubic root of 97927200 is about 460.9294377408.

The spelling of 97927200 in words is "ninety-seven million, nine hundred twenty-seven thousand, two hundred".