168653664 has 216 divisors, whose sum is σ = 532618632. Its totient is φ = 52462080.

The previous prime is 168653663. The next prime is 168653669. The reversal of 168653664 is 466356861.

It is a tau number, because it is divible by the number of its divisors (216).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168653663) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4113484 + ... + 4113524.

It is an arithmetic number, because the mean of its divisors is an integer number (2465827).

Almost surely, 2^168653664 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 168653664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266309316).

168653664 is an abundant number, since it is smaller than the sum of its proper divisors (363964968).

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

168653664 is an equidigital number, since it uses as much as digits as its factorization.

168653664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 69 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 168653664 is about 12986.6725530445. The cubic root of 168653664 is about 552.4995477839.

The spelling of 168653664 in words is "one hundred sixty-eight million, six hundred fifty-three thousand, six hundred sixty-four".