164964870 has 192 divisors, whose sum is σ = 527117760. Its totient is φ = 36578304.

The previous prime is 164964869. The next prime is 164964871. The reversal of 164964870 is 78469461.

164964870 is a `hidden beast` number, since 164 + 9 + 6 + 487 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (164964869) and next prime (164964871).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164964871) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 489342 + ... + 489678.

It is an arithmetic number, because the mean of its divisors is an integer number (2745405).

Almost surely, 2^164964870 is an apocalyptic number.

164964870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164964870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263558880).

164964870 is an abundant number, since it is smaller than the sum of its proper divisors (362152890).

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

164964870 is a wasteful number, since it uses less digits than its factorization.

164964870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 164964870 is about 12843.8650724772. The cubic root of 164964870 is about 548.4417269745.

The spelling of 164964870 in words is "one hundred sixty-four million, nine hundred sixty-four thousand, eight hundred seventy".