96353856 has 63 divisors (see below), whose sum is σ = 276857841. Its totient is φ = 32039424.

The previous prime is 96353837. The next prime is 96353867. The reversal of 96353856 is 65835369.

The square root of 96353856 is 9816.

It is a perfect power (a square), and thus also a powerful number.

96353856 is a `hidden beast` number, since 9 + 63 + 538 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 88059456 + 8294400 = 9384^2 + 2880^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 235380 + ... + 235788.

Almost surely, 2^96353856 is an apocalyptic number.

96353856 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

96353856 is the 9816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96353856

96353856 is an abundant number, since it is smaller than the sum of its proper divisors (180503985).

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

96353856 is an equidigital number, since it uses as much as digits as its factorization.

96353856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 414 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The cubic root of 96353856 is about 458.4475960922.

The spelling of 96353856 in words is "ninety-six million, three hundred fifty-three thousand, eight hundred fifty-six".