164026800 has 360 divisors, whose sum is σ = 681218304. Its totient is φ = 35735040.

The previous prime is 164026781. The next prime is 164026853. The reversal of 164026800 is 8620461.

164026800 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×164026800² = 53809582236480000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 579459 + ... + 579741.

Almost surely, 2^164026800 is an apocalyptic number.

164026800 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 164026800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340609152).

164026800 is an abundant number, since it is smaller than the sum of its proper divisors (517191504).

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

164026800 is a wasteful number, since it uses less digits than its factorization.

164026800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 164026800 is about 12807.2947963260. The cubic root of 164026800 is about 547.4001819653.

The spelling of 164026800 in words is "one hundred sixty-four million, twenty-six thousand, eight hundred".