164815560 has 480 divisors, whose sum is σ = 701490240. Its totient is φ = 33965568.

The previous prime is 164815549. The next prime is 164815571. The reversal of 164815560 is 65518461.

164815560 is a `hidden beast` number, since 1 + 648 + 1 + 5 + 5 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (164815549) and next prime (164815571).

It is a super-2 number, since 2×164815560² = 54328337636227200, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3832899 + ... + 3832941.

It is an arithmetic number, because the mean of its divisors is an integer number (1461438).

Almost surely, 2^164815560 is an apocalyptic number.

164815560 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 164815560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350745120).

164815560 is an abundant number, since it is smaller than the sum of its proper divisors (536674680).

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

164815560 is a wasteful number, since it uses less digits than its factorization.

164815560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 164815560 is about 12838.0512539871. The cubic root of 164815560 is about 548.2762118312.

The spelling of 164815560 in words is "one hundred sixty-four million, eight hundred fifteen thousand, five hundred sixty".