96993280 has 80 divisors (see below), whose sum is σ = 239075100. Its totient is φ = 37748736.

The previous prime is 96993269. The next prime is 96993293. The reversal of 96993280 is 8239969.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 94633984 + 2359296 = 9728^2 + 1536^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 96993280.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2621422 + ... + 2621458.

Almost surely, 2^96993280 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 96993280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119537550).

96993280 is an abundant number, since it is smaller than the sum of its proper divisors (142081820).

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

96993280 is an frugal number, since it uses more digits than its factorization.

96993280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 46.

The square root of 96993280 is about 9848.5166395757. The cubic root of 96993280 is about 459.4594785324.

It can be divided in two parts, 969 and 93280, that added together give a palindrome (94249).

The spelling of 96993280 in words is "ninety-six million, nine hundred ninety-three thousand, two hundred eighty".