97196400 has 540 divisors, whose sum is σ = 427260600. Its totient is φ = 20321280.

The previous prime is 97196389. The next prime is 97196401. The reversal of 97196400 is 469179.

97196400 is a `hidden beast` number, since 9 + 7 + 1 + 9 + 640 + 0 = 666.

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 (97196401) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 3351586 + ... + 3351614.

Almost surely, 2^97196400 is an apocalyptic number.

97196400 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 97196400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213630300).

97196400 is an abundant number, since it is smaller than the sum of its proper divisors (330064200).

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

97196400 is a wasteful number, since it uses less digits than its factorization.

97196400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 97196400 is about 9858.8234592166. The cubic root of 97196400 is about 459.7799829999.

The spelling of 97196400 in words is "ninety-seven million, one hundred ninety-six thousand, four hundred".