164354560 has 160 divisors (see below), whose sum is σ = 432115200. Its totient is φ = 59719680.

The previous prime is 164354501. The next prime is 164354621. The reversal of 164354560 is 65453461.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1507786 + ... + 1507894.

It is an arithmetic number, because the mean of its divisors is an integer number (2700720).

Almost surely, 2^164354560 is an apocalyptic number.

164354560 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 164354560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216057600).

164354560 is an abundant number, since it is smaller than the sum of its proper divisors (267760640).

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

164354560 is a wasteful number, since it uses less digits than its factorization.

164354560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The square root of 164354560 is about 12820.0842430929. The cubic root of 164354560 is about 547.7645462289.

The spelling of 164354560 in words is "one hundred sixty-four million, three hundred fifty-four thousand, five hundred sixty".