164905632 has 84 divisors (see below), whose sum is σ = 486833130. Its totient is φ = 54960768.

The previous prime is 164905621. The next prime is 164905669. The reversal of 164905632 is 236509461.

It is a happy number.

164905632 is a `hidden beast` number, since 1 + 6 + 4 + 90 + 563 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 148937616 + 15968016 = 12204^2 + 3996^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 19794 + ... + 26862.

Almost surely, 2^164905632 is an apocalyptic number.

164905632 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 164905632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243416565).

164905632 is an abundant number, since it is smaller than the sum of its proper divisors (321927498).

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

164905632 is an frugal number, since it uses more digits than its factorization.

164905632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7097 (or 7074 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 164905632 is about 12841.5587838860. The cubic root of 164905632 is about 548.3760716209.

It can be divided in two parts, 16490 and 5632, that added together give a palindrome (22122).

The spelling of 164905632 in words is "one hundred sixty-four million, nine hundred five thousand, six hundred thirty-two".