164872260 has 360 divisors, whose sum is σ = 630330624. Its totient is φ = 35925120.

The previous prime is 164872249. The next prime is 164872261. The reversal of 164872260 is 62278461.

164872260 is a `hidden beast` number, since 1 + 648 + 7 + 2 + 2 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164872261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2460747 + ... + 2460813.

Almost surely, 2^164872260 is an apocalyptic number.

164872260 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 164872260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315165312).

164872260 is an abundant number, since it is smaller than the sum of its proper divisors (465458364).

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

164872260 is a wasteful number, since it uses less digits than its factorization.

164872260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 164872260 is about 12840.2593431753. The cubic root of 164872260 is about 548.3390774510.

The spelling of 164872260 in words is "one hundred sixty-four million, eight hundred seventy-two thousand, two hundred sixty".