97840000 has 80 divisors (see below), whose sum is σ = 243765720. Its totient is φ = 39104000.

The previous prime is 97839991. The next prime is 97840019. The reversal of 97840000 is 4879.

It is a tau number, because it is divible by the number of its divisors (80).

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 9 ways as a sum of consecutive naturals, for example, 79389 + ... + 80611.

Almost surely, 2^97840000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121882860).

97840000 is an abundant number, since it is smaller than the sum of its proper divisors (145925720).

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

97840000 is an equidigital number, since it uses as much as digits as its factorization.

97840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 97840000 is about 9891.4104151026. The cubic root of 97840000 is about 460.7925844357.

Adding to 97840000 its reverse (4879), we get a palindrome (97844879).

It can be divided in two parts, 9 and 7840000, that multiplied together give a square (70560000 = 8400²).

The spelling of 97840000 in words is "ninety-seven million, eight hundred forty thousand".