164723832 has 192 divisors, whose sum is σ = 567490560. Its totient is φ = 41990400.

The previous prime is 164723813. The next prime is 164723833. The reversal of 164723832 is 238327461.

It is a happy number.

164723832 is a `hidden beast` number, since 1 + 647 + 2 + 3 + 8 + 3 + 2 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164723833) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202707 + ... + 203517.

It is an arithmetic number, because the mean of its divisors is an integer number (2955680).

Almost surely, 2^164723832 is an apocalyptic number.

164723832 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 164723832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283745280).

164723832 is an abundant number, since it is smaller than the sum of its proper divisors (402766728).

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

164723832 is a wasteful number, since it uses less digits than its factorization.

164723832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 867 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 164723832 is about 12834.4782519587. The cubic root of 164723832 is about 548.1744786913.

The spelling of 164723832 in words is "one hundred sixty-four million, seven hundred twenty-three thousand, eight hundred thirty-two".