168372864 has 256 divisors, whose sum is σ = 560102400. Its totient is φ = 49351680.

The previous prime is 168372823. The next prime is 168372877. The reversal of 168372864 is 468273861.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1634637 + ... + 1634739.

It is an arithmetic number, because the mean of its divisors is an integer number (2187900).

Almost surely, 2^168372864 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 168372864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280051200).

168372864 is an abundant number, since it is smaller than the sum of its proper divisors (391729536).

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

168372864 is a wasteful number, since it uses less digits than its factorization.

168372864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 162 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 168372864 is about 12975.8569659194. The cubic root of 168372864 is about 552.1927493224.

It can be divided in two parts, 16837 and 2864, that added together give a triangular number (19701 = T₁₉₈).

The spelling of 168372864 in words is "one hundred sixty-eight million, three hundred seventy-two thousand, eight hundred sixty-four".