96819624 has 240 divisors, whose sum is σ = 320950080. Its totient is φ = 27025920.

The previous prime is 96819601. The next prime is 96819631. The reversal of 96819624 is 42691869.

It is a happy number.

96819624 is a `hidden beast` number, since 9 + 6 + 8 + 19 + 624 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 96819624.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 2059969 + ... + 2060015.

It is an arithmetic number, because the mean of its divisors is an integer number (1337292).

Almost surely, 2^96819624 is an apocalyptic number.

96819624 is a gapful number since it is divisible by the number (94) 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 96819624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160475040).

96819624 is an abundant number, since it is smaller than the sum of its proper divisors (224130456).

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

96819624 is a wasteful number, since it uses less digits than its factorization.

96819624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 80 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 96819624 is about 9839.6963367779. The cubic root of 96819624 is about 459.1851105218.

The spelling of 96819624 in words is "ninety-six million, eight hundred nineteen thousand, six hundred twenty-four".