164211432 has 128 divisors (see below), whose sum is σ = 542039040. Its totient is φ = 40135680.

The previous prime is 164211409. The next prime is 164211461. The reversal of 164211432 is 234112461.

164211432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28803 + ... + 34029.

It is an arithmetic number, because the mean of its divisors is an integer number (4234680).

Almost surely, 2^164211432 is an apocalyptic number.

164211432 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 164211432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271019520).

164211432 is an abundant number, since it is smaller than the sum of its proper divisors (377827608).

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

164211432 is a wasteful number, since it uses less digits than its factorization.

164211432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5271 (or 5267 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 164211432 is about 12814.5008486480. The cubic root of 164211432 is about 547.6054933186.

Adding to 164211432 its reverse (234112461), we get a palindrome (398323893).

The spelling of 164211432 in words is "one hundred sixty-four million, two hundred eleven thousand, four hundred thirty-two".