164281932 has 60 divisors (see below), whose sum is σ = 430824856. Its totient is φ = 54587520.

The previous prime is 164281913. The next prime is 164281933. The reversal of 164281932 is 239182461.

164281932 is a `hidden beast` number, since 1 + 642 + 8 + 1 + 9 + 3 + 2 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (164281933) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 139707 + ... + 140877.

Almost surely, 2^164281932 is an apocalyptic number.

164281932 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 164281932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215412428).

164281932 is an abundant number, since it is smaller than the sum of its proper divisors (266542924).

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

164281932 is a wasteful number, since it uses less digits than its factorization.

164281932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620 (or 1609 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 164281932 is about 12817.2513434043. The cubic root of 164281932 is about 547.6838489346.

The spelling of 164281932 in words is "one hundred sixty-four million, two hundred eighty-one thousand, nine hundred thirty-two".