96466500 has 288 divisors, whose sum is σ = 350584416. Its totient is φ = 22118400.

The previous prime is 96466471. The next prime is 96466529. The reversal of 96466500 is 566469.

It is a happy number.

96466500 is a `hidden beast` number, since 9 + 646 + 6 + 5 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (96466471) and next prime (96466529).

It can be written as a sum of positive squares in 16 ways, for example, as 74338884 + 22127616 = 8622^2 + 4704^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 994452 + ... + 994548.

It is an arithmetic number, because the mean of its divisors is an integer number (1217307).

Almost surely, 2^96466500 is an apocalyptic number.

96466500 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 96466500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175292208).

96466500 is an abundant number, since it is smaller than the sum of its proper divisors (254117916).

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

96466500 is a wasteful number, since it uses less digits than its factorization.

96466500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 96466500 is about 9821.7360990815. The cubic root of 96466500 is about 458.6261783243.

The spelling of 96466500 in words is "ninety-six million, four hundred sixty-six thousand, five hundred".