326864160 has 288 divisors, whose sum is σ = 1323084672. Its totient is φ = 74649600.

The previous prime is 326864137. The next prime is 326864171. The reversal of 326864160 is 61468623.

326864160 is a `hidden beast` number, since 3 + 2 + 6 + 8 + 641 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271560 + ... + 272760.

It is an arithmetic number, because the mean of its divisors is an integer number (4594044).

Almost surely, 2^326864160 is an apocalyptic number.

326864160 is a gapful number since it is divisible by the number (30) 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 326864160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661542336).

326864160 is an abundant number, since it is smaller than the sum of its proper divisors (996220512).

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

326864160 is a wasteful number, since it uses less digits than its factorization.

326864160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 326864160 is about 18079.3849452906. The cubic root of 326864160 is about 688.8464658039.

The spelling of 326864160 in words is "three hundred twenty-six million, eight hundred sixty-four thousand, one hundred sixty".