97368600 has 192 divisors, whose sum is σ = 349977600. Its totient is φ = 21934080.

The previous prime is 97368599. The next prime is 97368643. The reversal of 97368600 is 686379.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 407281 + ... + 407519.

It is an arithmetic number, because the mean of its divisors is an integer number (1822800).

Almost surely, 2^97368600 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 97368600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174988800).

97368600 is an abundant number, since it is smaller than the sum of its proper divisors (252609000).

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

97368600 is a wasteful number, since it uses less digits than its factorization.

97368600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 97368600 is about 9867.5528881278. The cubic root of 97368600 is about 460.0513490252.

It can be divided in two parts, 9736 and 8600, that added together give a triangular number (18336 = T₁₉₁).

The spelling of 97368600 in words is "ninety-seven million, three hundred sixty-eight thousand, six hundred".