97312080600 has 576 divisors, whose sum is σ = 386836669440. Its totient is φ = 21461760000.

The previous prime is 97312080599. The next prime is 97312080601. The reversal of 97312080600 is 608021379.

It is an interprime number because it is at equal distance from previous prime (97312080599) and next prime (97312080601).

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 (97312080601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 43229475 + ... + 43231725.

It is an arithmetic number, because the mean of its divisors is an integer number (671591440).

Almost surely, 2^97312080600 is an apocalyptic number.

97312080600 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 97312080600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193418334720).

97312080600 is an abundant number, since it is smaller than the sum of its proper divisors (289524588840).

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

97312080600 is a wasteful number, since it uses less digits than its factorization.

97312080600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2400 (or 2388 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 97312080600 in words is "ninety-seven billion, three hundred twelve million, eighty thousand, six hundred".