97248600 has 336 divisors, whose sum is σ = 365936400. Its totient is φ = 23950080.

The previous prime is 97248589. The next prime is 97248607. The reversal of 97248600 is 684279.

97248600 is a `hidden beast` number, since 9 + 7 + 2 + 48 + 600 = 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 (97248607) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 3353386 + ... + 3353414.

Almost surely, 2^97248600 is an apocalyptic number.

97248600 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 97248600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182968200).

97248600 is an abundant number, since it is smaller than the sum of its proper divisors (268687800).

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

97248600 is a wasteful number, since it uses less digits than its factorization.

97248600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 97248600 is about 9861.4704785848. The cubic root of 97248600 is about 459.8622776111.

The spelling of 97248600 in words is "ninety-seven million, two hundred forty-eight thousand, six hundred".