97686400 has 192 divisors, whose sum is σ = 284580000. Its totient is φ = 33116160.

The previous prime is 97686397. The next prime is 97686409. The reversal of 97686400 is 468679.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97686409) 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 23 ways as a sum of consecutive naturals, for example, 1097556 + ... + 1097644.

Almost surely, 2^97686400 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 97686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142290000).

97686400 is an abundant number, since it is smaller than the sum of its proper divisors (186893600).

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

97686400 is an equidigital number, since it uses as much as digits as its factorization.

97686400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 97686400 is about 9883.6430530448. The cubic root of 97686400 is about 460.5513238349.

The spelling of 97686400 in words is "ninety-seven million, six hundred eighty-six thousand, four hundred".