97263600 has 120 divisors (see below), whose sum is σ = 356108160. Its totient is φ = 22229760.

The previous prime is 97263599. The next prime is 97263623. The reversal of 97263600 is 636279.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2611 + ... + 14189.

It is an arithmetic number, because the mean of its divisors is an integer number (2967568).

Almost surely, 2^97263600 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 97263600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178054080).

97263600 is an abundant number, since it is smaller than the sum of its proper divisors (258844560).

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

97263600 is a wasteful number, since it uses less digits than its factorization.

97263600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11607 (or 11596 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 97263600 is about 9862.2309849243. The cubic root of 97263600 is about 459.8859200407.

Adding to 97263600 its reverse (636279), we get a palindrome (97899879).

The spelling of 97263600 in words is "ninety-seven million, two hundred sixty-three thousand, six hundred".