164210652 has 72 divisors (see below), whose sum is σ = 432864432. Its totient is φ = 54432000.

The previous prime is 164210623. The next prime is 164210659. The reversal of 164210652 is 256012461.

164210652 is a `hidden beast` number, since 1 + 6 + 4 + 2 + 1 + 0 + 652 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164210659) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 233902 + ... + 234602.

It is an arithmetic number, because the mean of its divisors is an integer number (6012006).

Almost surely, 2^164210652 is an apocalyptic number.

164210652 is a gapful number since it is divisible by the number (12) 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 164210652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216432216).

164210652 is an abundant number, since it is smaller than the sum of its proper divisors (268653780).

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

164210652 is a wasteful number, since it uses less digits than its factorization.

164210652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 164210652 is about 12814.4704143402. The cubic root of 164210652 is about 547.6046262799.

The spelling of 164210652 in words is "one hundred sixty-four million, two hundred ten thousand, six hundred fifty-two".