168852096 has 96 divisors (see below), whose sum is σ = 555328800. Its totient is φ = 48241152.

The previous prime is 168852083. The next prime is 168852121. The reversal of 168852096 is 690258861.

168852096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×168852096² = 57022060647186432, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2406 + ... + 18533.

It is an arithmetic number, because the mean of its divisors is an integer number (5784675).

Almost surely, 2^168852096 is an apocalyptic number.

168852096 is a gapful number since it is divisible by the number (16) 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 168852096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277664400).

168852096 is an abundant number, since it is smaller than the sum of its proper divisors (386476704).

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

168852096 is a wasteful number, since it uses less digits than its factorization.

168852096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20966 (or 20951 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 168852096 is about 12994.3101394418. The cubic root of 168852096 is about 552.7161467373.

It can be divided in two parts, 16885 and 2096, that added together give a palindrome (18981).

The spelling of 168852096 in words is "one hundred sixty-eight million, eight hundred fifty-two thousand, ninety-six".