164215032 has 64 divisors (see below), whose sum is σ = 429960960. Its totient is φ = 52166400.

The previous prime is 164215031. The next prime is 164215049. The reversal of 164215032 is 230512461.

It is a super-2 number, since 2×164215032² = 53933153469522048, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 164214993 and 164215011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164215031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 287307 + ... + 287877.

It is an arithmetic number, because the mean of its divisors is an integer number (6718140).

Almost surely, 2^164215032 is an apocalyptic number.

164215032 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 164215032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214980480).

164215032 is an abundant number, since it is smaller than the sum of its proper divisors (265745928).

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

164215032 is a wasteful number, since it uses less digits than its factorization.

164215032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 164215032 is about 12814.6413137473. The cubic root of 164215032 is about 547.6094949997.

Adding to 164215032 its reverse (230512461), we get a palindrome (394727493).

The spelling of 164215032 in words is "one hundred sixty-four million, two hundred fifteen thousand, thirty-two".