96821648 has 120 divisors (see below), whose sum is σ = 242573760. Its totient is φ = 37013760.

The previous prime is 96821611. The next prime is 96821657. The reversal of 96821648 is 84612869.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 96821599 and 96821608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 888218 + ... + 888326.

It is an arithmetic number, because the mean of its divisors is an integer number (2021448).

Almost surely, 2^96821648 is an apocalyptic number.

96821648 is a gapful number since it is divisible by the number (98) 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 96821648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121286880).

96821648 is an abundant number, since it is smaller than the sum of its proper divisors (145752112).

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

96821648 is a wasteful number, since it uses less digits than its factorization.

96821648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 232 counting only the distinct ones).

The product of its digits is 165888, while the sum is 44.

The square root of 96821648 is about 9839.7991849427. The cubic root of 96821648 is about 459.1883102319.

The spelling of 96821648 in words is "ninety-six million, eight hundred twenty-one thousand, six hundred forty-eight".