164147320 has 64 divisors (see below), whose sum is σ = 391288320. Its totient is φ = 61843584.

The previous prime is 164147317. The next prime is 164147329. The reversal of 164147320 is 23741461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164147329) 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, 60309 + ... + 62971.

It is an arithmetic number, because the mean of its divisors is an integer number (6113880).

Almost surely, 2^164147320 is an apocalyptic number.

164147320 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 164147320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195644160).

164147320 is an abundant number, since it is smaller than the sum of its proper divisors (227141000).

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

164147320 is a wasteful number, since it uses less digits than its factorization.

164147320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2764 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 164147320 is about 12811.9990633780. Note that the first 3 decimals coincide. The cubic root of 164147320 is about 547.5342180264.

Adding to 164147320 its reverse (23741461), we get a palindrome (187888781).

The spelling of 164147320 in words is "one hundred sixty-four million, one hundred forty-seven thousand, three hundred twenty".