164038576 has 80 divisors (see below), whose sum is σ = 378350784. Its totient is φ = 68124672.

The previous prime is 164038573. The next prime is 164038583. The reversal of 164038576 is 675830461.

It is a happy number.

It is a super-2 number, since 2×164038576² = 53817308832215552, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (164038573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80320 + ... + 82336.

Almost surely, 2^164038576 is an apocalyptic number.

164038576 is a gapful number since it is divisible by the number (16) 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 164038576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189175392).

164038576 is an abundant number, since it is smaller than the sum of its proper divisors (214312208).

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

164038576 is a wasteful number, since it uses less digits than its factorization.

164038576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2078 (or 2072 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 164038576 is about 12807.7545260674. The cubic root of 164038576 is about 547.4132815122.

It can be divided in two parts, 1640385 and 76, that added together give a palindrome (1640461).

The spelling of 164038576 in words is "one hundred sixty-four million, thirty-eight thousand, five hundred seventy-six".