164046000 has 160 divisors (see below), whose sum is σ = 557107200. Its totient is φ = 41414400.

The previous prime is 164045963. The next prime is 164046013. The reversal of 164046000 is 640461.

It is a super-2 number, since 2×164046000² = 53822180232000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113281 + ... + 114719.

It is an arithmetic number, because the mean of its divisors is an integer number (3481920).

Almost surely, 2^164046000 is an apocalyptic number.

164046000 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 164046000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278553600).

164046000 is an abundant number, since it is smaller than the sum of its proper divisors (393061200).

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

164046000 is a wasteful number, since it uses less digits than its factorization.

164046000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 164046000 is about 12808.0443472062. The cubic root of 164046000 is about 547.4215396000.

Adding to 164046000 its reverse (640461), we get a palindrome (164686461).

The spelling of 164046000 in words is "one hundred sixty-four million, forty-six thousand".