164005632 has 108 divisors (see below), whose sum is σ = 540474480. Its totient is φ = 46854144.

The previous prime is 164005627. The next prime is 164005649. The reversal of 164005632 is 236500461.

It is a junction number, because it is equal to n+sod(n) for n = 164005596 and 164005605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11044 + ... + 21212.

Almost surely, 2^164005632 is an apocalyptic number.

164005632 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 164005632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270237240).

164005632 is an abundant number, since it is smaller than the sum of its proper divisors (376468848).

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

164005632 is a wasteful number, since it uses less digits than its factorization.

164005632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10198 (or 10181 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 164005632 is about 12806.4683656346. The cubic root of 164005632 is about 547.3766332413.

The spelling of 164005632 in words is "one hundred sixty-four million, five thousand, six hundred thirty-two".