97886400 has 84 divisors (see below), whose sum is σ = 321164712. Its totient is φ = 26101760.

The previous prime is 97886387. The next prime is 97886401. The reversal of 97886400 is 468879.

It is a happy number.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (97886401) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5397 + ... + 14996.

Almost surely, 2^97886400 is an apocalyptic number.

It is an amenable number.

97886400 is an abundant number, since it is smaller than the sum of its proper divisors (223278312).

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

97886400 is a wasteful number, since it uses less digits than its factorization.

97886400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20418 (or 20403 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 97886400 is about 9893.7556064419. The cubic root of 97886400 is about 460.8654155781.

It can be divided in two parts, 978 and 86400, that added together give a palindrome (87378).

The spelling of 97886400 in words is "ninety-seven million, eight hundred eighty-six thousand, four hundred".