96824880 has 120 divisors (see below), whose sum is σ = 329041440. Its totient is φ = 25512960.

The previous prime is 96824879. The next prime is 96824899. The reversal of 96824880 is 8842869.

It is a happy number.

96824880 is a `hidden beast` number, since 96 + 82 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 63325 + ... + 64835.

It is an arithmetic number, because the mean of its divisors is an integer number (2742012).

Almost surely, 2^96824880 is an apocalyptic number.

96824880 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 96824880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164520720).

96824880 is an abundant number, since it is smaller than the sum of its proper divisors (232216560).

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

96824880 is a wasteful number, since it uses less digits than its factorization.

96824880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 96824880 is about 9839.9634145661. The cubic root of 96824880 is about 459.1934195579.

The spelling of 96824880 in words is "ninety-six million, eight hundred twenty-four thousand, eight hundred eighty".