364168896 has 224 divisors, whose sum is σ = 1249436160. Its totient is φ = 90906624.

The previous prime is 364168843. The next prime is 364168939. The reversal of 364168896 is 698861463.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 331420 + ... + 332516.

It is an arithmetic number, because the mean of its divisors is an integer number (5577840).

Almost surely, 2^364168896 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 364168896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624718080).

364168896 is an abundant number, since it is smaller than the sum of its proper divisors (885267264).

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

364168896 is a wasteful number, since it uses less digits than its factorization.

364168896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1141 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 51.

The square root of 364168896 is about 19083.2097929043. The cubic root of 364168896 is about 714.1141136883.

The spelling of 364168896 in words is "three hundred sixty-four million, one hundred sixty-eight thousand, eight hundred ninety-six".