164364330 has 96 divisors (see below), whose sum is σ = 452516544. Its totient is φ = 38059008.

The previous prime is 164364293. The next prime is 164364337. The reversal of 164364330 is 33463461.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (164364337) 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, 85237 + ... + 87143.

It is an arithmetic number, because the mean of its divisors is an integer number (4713714).

Almost surely, 2^164364330 is an apocalyptic number.

164364330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164364330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226258272).

164364330 is an abundant number, since it is smaller than the sum of its proper divisors (288152214).

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

164364330 is a wasteful number, since it uses less digits than its factorization.

164364330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1960 (or 1947 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 164364330 is about 12820.4652801683. The cubic root of 164364330 is about 547.7753999052.

The spelling of 164364330 in words is "one hundred sixty-four million, three hundred sixty-four thousand, three hundred thirty".