96935616 has 168 divisors, whose sum is σ = 301776384. Its totient is φ = 30792960.

The previous prime is 96935599. The next prime is 96935621. The reversal of 96935616 is 61653969.

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, 357561 + ... + 357831.

It is an arithmetic number, because the mean of its divisors is an integer number (1796288).

Almost surely, 2^96935616 is an apocalyptic number.

96935616 is a gapful number since it is divisible by the number (96) 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 96935616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150888192).

96935616 is an abundant number, since it is smaller than the sum of its proper divisors (204840768).

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

96935616 is a wasteful number, since it uses less digits than its factorization.

96935616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 299 counting only the distinct ones).

The product of its digits is 262440, while the sum is 45.

The square root of 96935616 is about 9845.5886568554. The cubic root of 96935616 is about 459.3684085685.

It can be divided in two parts, 969 and 35616, that added together give a triangular number (36585 = T₂₇₀).

The spelling of 96935616 in words is "ninety-six million, nine hundred thirty-five thousand, six hundred sixteen".