96884424 has 320 divisors, whose sum is σ = 351267840. Its totient is φ = 24261120.

The previous prime is 96884387. The next prime is 96884443. The reversal of 96884424 is 42448869.

It is a super-2 number, since 2×96884424² = 18773183227623552, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 96884424.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 1827982 + ... + 1828034.

It is an arithmetic number, because the mean of its divisors is an integer number (1097712).

Almost surely, 2^96884424 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 96884424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175633920).

96884424 is an abundant number, since it is smaller than the sum of its proper divisors (254383416).

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

96884424 is a wasteful number, since it uses less digits than its factorization.

96884424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 109 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 96884424 is about 9842.9885705511. The cubic root of 96884424 is about 459.2875297014.

The spelling of 96884424 in words is "ninety-six million, eight hundred eighty-four thousand, four hundred twenty-four".