164760 has 32 divisors (see below), whose sum is σ = 494640. Its totient is φ = 43904.

The previous prime is 164743. The next prime is 164767. The reversal of 164760 is 67461.

Added to its reverse (67461) it gives a triangular number (232221 = T₆₈₁).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 164760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 567 + ... + 806.

2¹⁶⁴⁷⁶⁰ is an apocalyptic number.

164760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164760 is an abundant number, since it is smaller than the sum of its proper divisors (329880).

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

164760 is a wasteful number, since it uses less digits than its factorization.

164760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1387 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 164760 is about 405.9063931499. The cubic root of 164760 is about 54.8214596189.

Adding to 164760 its reverse (67461), we get a triangular number (232221 = T₆₈₁).

The spelling of 164760 in words is "one hundred sixty-four thousand, seven hundred sixty".