97383600 has 240 divisors, whose sum is σ = 354263040. Its totient is φ = 25401600.

The previous prime is 97383581. The next prime is 97383613. The reversal of 97383600 is 638379.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 766737 + ... + 766863.

It is an arithmetic number, because the mean of its divisors is an integer number (1476096).

Almost surely, 2^97383600 is an apocalyptic number.

97383600 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 97383600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177131520).

97383600 is an abundant number, since it is smaller than the sum of its proper divisors (256879440).

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

97383600 is a wasteful number, since it uses less digits than its factorization.

97383600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 97383600 is about 9868.3129257234. The cubic root of 97383600 is about 460.0749720272.

The spelling of 97383600 in words is "ninety-seven million, three hundred eighty-three thousand, six hundred".