164638900 has 36 divisors (see below), whose sum is σ = 366930508. Its totient is φ = 64074240.

The previous prime is 164638889. The next prime is 164638907. The reversal of 164638900 is 9836461.

It can be written as a sum of positive squares in 6 ways, for example, as 4717584 + 159921316 = 2172^2 + 12646^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 164638900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164638907) 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 11 ways as a sum of consecutive naturals, for example, 18549 + ... + 25948.

Almost surely, 2^164638900 is an apocalyptic number.

164638900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164638900 is an abundant number, since it is smaller than the sum of its proper divisors (202291608).

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

164638900 is a wasteful number, since it uses less digits than its factorization.

164638900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44548 (or 44541 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 164638900 is about 12831.1690815763. The cubic root of 164638900 is about 548.0802491389.

The spelling of 164638900 in words is "one hundred sixty-four million, six hundred thirty-eight thousand, nine hundred".