164513160 has 256 divisors, whose sum is σ = 641433600. Its totient is φ = 36723456.

The previous prime is 164513159. The next prime is 164513161. The reversal of 164513160 is 61315461.

164513160 is a `hidden beast` number, since 1 + 645 + 1 + 3 + 16 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (164513159) and next prime (164513161).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (164513161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 355089 + ... + 355551.

It is an arithmetic number, because the mean of its divisors is an integer number (2505600).

Almost surely, 2^164513160 is an apocalyptic number.

164513160 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 164513160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320716800).

164513160 is an abundant number, since it is smaller than the sum of its proper divisors (476920440).

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

164513160 is a wasteful number, since it uses less digits than its factorization.

164513160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 164513160 is about 12826.2683583340. The cubic root of 164513160 is about 547.9406847907.

The spelling of 164513160 in words is "one hundred sixty-four million, five hundred thirteen thousand, one hundred sixty".