164230880 has 144 divisors (see below), whose sum is σ = 452466000. Its totient is φ = 56094720.

The previous prime is 164230877. The next prime is 164230883. The reversal of 164230880 is 88032461.

It is an interprime number because it is at equal distance from previous prime (164230877) and next prime (164230883).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164230883) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 328871 + ... + 329369.

It is an arithmetic number, because the mean of its divisors is an integer number (3142125).

Almost surely, 2^164230880 is an apocalyptic number.

164230880 is a gapful number since it is divisible by the number (10) 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 164230880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226233000).

164230880 is an abundant number, since it is smaller than the sum of its proper divisors (288235120).

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

164230880 is a wasteful number, since it uses less digits than its factorization.

164230880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 164230880 is about 12815.2596540218. The cubic root of 164230880 is about 547.6271105939.

The spelling of 164230880 in words is "one hundred sixty-four million, two hundred thirty thousand, eight hundred eighty".