168923664 has 160 divisors (see below), whose sum is σ = 596906240. Its totient is φ = 44540928.

The previous prime is 168923663. The next prime is 168923669. The reversal of 168923664 is 466329861.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (168923663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37164 + ... + 41460.

It is an arithmetic number, because the mean of its divisors is an integer number (3730664).

Almost surely, 2^168923664 is an apocalyptic number.

168923664 is a gapful number since it is divisible by the number (14) 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 168923664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298453120).

168923664 is an abundant number, since it is smaller than the sum of its proper divisors (427982576).

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

168923664 is a wasteful number, since it uses less digits than its factorization.

168923664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4334 (or 4322 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 168923664 is about 12997.0636683829. The cubic root of 168923664 is about 552.7942253294.

The spelling of 168923664 in words is "one hundred sixty-eight million, nine hundred twenty-three thousand, six hundred sixty-four".