96122880 has 288 divisors, whose sum is σ = 383292000. Its totient is φ = 21823488.

The previous prime is 96122861. The next prime is 96122903. The reversal of 96122880 is 8822169.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 645046 + ... + 645194.

It is an arithmetic number, because the mean of its divisors is an integer number (1330875).

Almost surely, 2^96122880 is an apocalyptic number.

96122880 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 96122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191646000).

96122880 is an abundant number, since it is smaller than the sum of its proper divisors (287169120).

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

96122880 is a wasteful number, since it uses less digits than its factorization.

96122880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 96122880 is about 9804.2276595355. The cubic root of 96122880 is about 458.0809782891.

The spelling of 96122880 in words is "ninety-six million, one hundred twenty-two thousand, eight hundred eighty".