164493360 has 240 divisors, whose sum is σ = 595408320. Its totient is φ = 40550400.

The previous prime is 164493359. The next prime is 164493383. The reversal of 164493360 is 63394461.

164493360 is a `hidden beast` number, since 1 + 644 + 9 + 3 + 3 + 6 + 0 = 666.

164493360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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, 1089285 + ... + 1089435.

It is an arithmetic number, because the mean of its divisors is an integer number (2480868).

Almost surely, 2^164493360 is an apocalyptic number.

164493360 is a gapful number since it is divisible by the number (10) 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 164493360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297704160).

164493360 is an abundant number, since it is smaller than the sum of its proper divisors (430914960).

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

164493360 is a wasteful number, since it uses less digits than its factorization.

164493360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 164493360 is about 12825.4964816182. The cubic root of 164493360 is about 547.9187014210.

The spelling of 164493360 in words is "one hundred sixty-four million, four hundred ninety-three thousand, three hundred sixty".