96884640 has 192 divisors, whose sum is σ = 348001920. Its totient is φ = 25159680.

The previous prime is 96884597. The next prime is 96884677. The reversal of 96884640 is 4648869.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 31 ways as a sum of consecutive naturals, for example, 176847 + ... + 177393.

It is an arithmetic number, because the mean of its divisors is an integer number (1812510).

Almost surely, 2^96884640 is an apocalyptic number.

96884640 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 96884640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174000960).

96884640 is an abundant number, since it is smaller than the sum of its proper divisors (251117280).

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

96884640 is a wasteful number, since it uses less digits than its factorization.

96884640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 96884640 is about 9842.9995428223. Note that the first 3 decimals coincide. The cubic root of 96884640 is about 459.2878710223.

It can be divided in two parts, 96 and 884640, that added together give a cube (884736 = 96³).

The spelling of 96884640 in words is "ninety-six million, eight hundred eighty-four thousand, six hundred forty".