96717600 has 432 divisors, whose sum is σ = 414348480. Its totient is φ = 20736000.

The previous prime is 96717589. The next prime is 96717611. The reversal of 96717600 is 671769.

It is an interprime number because it is at equal distance from previous prime (96717589) and next prime (96717611).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 957550 + ... + 957650.

It is an arithmetic number, because the mean of its divisors is an integer number (959140).

Almost surely, 2^96717600 is an apocalyptic number.

96717600 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 96717600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207174240).

96717600 is an abundant number, since it is smaller than the sum of its proper divisors (317630880).

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

96717600 is a wasteful number, since it uses less digits than its factorization.

96717600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 96717600 is about 9834.5106639832. The cubic root of 96717600 is about 459.0237645577.

It can be divided in two parts, 9671 and 7600, that added together give a palindrome (17271).

The spelling of 96717600 in words is "ninety-six million, seven hundred seventeen thousand, six hundred".