164531160 has 96 divisors (see below), whose sum is σ = 537030000. Its totient is φ = 43686144.

The previous prime is 164531141. The next prime is 164531179. The reversal of 164531160 is 61135461.

164531160 is a `hidden beast` number, since 1 + 645 + 3 + 1 + 16 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (164531141) and next prime (164531179).

It is a super-2 number, since 2×164531160² = 54141005221891200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95991 + ... + 97689.

Almost surely, 2^164531160 is an apocalyptic number.

164531160 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 164531160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268515000).

164531160 is an abundant number, since it is smaller than the sum of its proper divisors (372498840).

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

164531160 is a wasteful number, since it uses less digits than its factorization.

164531160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1985 (or 1978 counting only the distinct ones).

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

The square root of 164531160 is about 12826.9700241327. The cubic root of 164531160 is about 547.9606681416.

The spelling of 164531160 in words is "one hundred sixty-four million, five hundred thirty-one thousand, one hundred sixty".