96818640 has 80 divisors (see below), whose sum is σ = 308277888. Its totient is φ = 25118208.

The previous prime is 96818609. The next prime is 96818641. The reversal of 96818640 is 4681869.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 96818592 and 96818601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96818641) 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 15 ways as a sum of consecutive naturals, for example, 3429 + ... + 14331.

Almost surely, 2^96818640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96818640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154138944).

96818640 is an abundant number, since it is smaller than the sum of its proper divisors (211459248).

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

96818640 is a wasteful number, since it uses less digits than its factorization.

96818640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10956 (or 10950 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 96818640 is about 9839.6463351078. The cubic root of 96818640 is about 459.1835549154.

The spelling of 96818640 in words is "ninety-six million, eight hundred eighteen thousand, six hundred forty".