97864200 has 240 divisors, whose sum is σ = 388903680. Its totient is φ = 22343040.

The previous prime is 97864187. The next prime is 97864211. The reversal of 97864200 is 246879.

97864200 is a `hidden beast` number, since 9 + 7 + 8 + 642 + 0 + 0 = 666.

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

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 59 ways as a sum of consecutive naturals, for example, 112969 + ... + 113831.

It is an arithmetic number, because the mean of its divisors is an integer number (1620432).

Almost surely, 2^97864200 is an apocalyptic number.

97864200 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 97864200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194451840).

97864200 is an abundant number, since it is smaller than the sum of its proper divisors (291039480).

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

97864200 is a wasteful number, since it uses less digits than its factorization.

97864200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 97864200 is about 9892.6336230551. The cubic root of 97864200 is about 460.8305725158.

The spelling of 97864200 in words is "ninety-seven million, eight hundred sixty-four thousand, two hundred".