164657000 has 64 divisors (see below), whose sum is σ = 402105600. Its totient is φ = 62990400.

The previous prime is 164656991. The next prime is 164657033. The reversal of 164657000 is 756461.

164657000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×164657000² = 54223855298000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19421 + ... + 26579.

It is an arithmetic number, because the mean of its divisors is an integer number (6282900).

Almost surely, 2^164657000 is an apocalyptic number.

164657000 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 164657000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201052800).

164657000 is an abundant number, since it is smaller than the sum of its proper divisors (237448600).

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

164657000 is a wasteful number, since it uses less digits than its factorization.

164657000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7203 (or 7189 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 164657000 is about 12831.8743759437. The cubic root of 164657000 is about 548.1003332725.

The spelling of 164657000 in words is "one hundred sixty-four million, six hundred fifty-seven thousand".