96346880 has 72 divisors (see below), whose sum is σ = 263774112. Its totient is φ = 33030144.

The previous prime is 96346879. The next prime is 96346889. The reversal of 96346880 is 8864369.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (96346889) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3584 + ... + 14336.

Almost surely, 2^96346880 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 96346880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131887056).

96346880 is an abundant number, since it is smaller than the sum of its proper divisors (167427232).

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

96346880 is a wasteful number, since it uses less digits than its factorization.

96346880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10781 (or 10767 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 44.

The square root of 96346880 is about 9815.6446553449. The cubic root of 96346880 is about 458.4365319870.

The spelling of 96346880 in words is "ninety-six million, three hundred forty-six thousand, eight hundred eighty".