166836096 has 192 divisors, whose sum is σ = 581424480. Its totient is φ = 44826624.

The previous prime is 166836083. The next prime is 166836119. The reversal of 166836096 is 690638661.

166836096 is digitally balanced in base 2 and base 3, because in such bases 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 (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136480 + ... + 137696.

Almost surely, 2^166836096 is an apocalyptic number.

166836096 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 166836096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290712240).

166836096 is an abundant number, since it is smaller than the sum of its proper divisors (414588384).

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

166836096 is a wasteful number, since it uses less digits than its factorization.

166836096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 166836096 is about 12916.5047903835. The cubic root of 166836096 is about 550.5076261049.

The spelling of 166836096 in words is "one hundred sixty-six million, eight hundred thirty-six thousand, ninety-six".