164426800 has 30 divisors (see below), whose sum is σ = 395036348. Its totient is φ = 65770560.

The previous prime is 164426789. The next prime is 164426807. The reversal of 164426800 is 8624461.

It is a super-3 number, since 3×164426800³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (164426807) 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 5 ways as a sum of consecutive naturals, for example, 205134 + ... + 205933.

Almost surely, 2^164426800 is an apocalyptic number.

164426800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164426800 is an abundant number, since it is smaller than the sum of its proper divisors (230609548).

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

164426800 is a wasteful number, since it uses less digits than its factorization.

164426800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411085 (or 411074 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 164426800 is about 12822.9013877515. The cubic root of 164426800 is about 547.8447888350.

It can be divided in two parts, 16 and 4426800, that added together give a square (4426816 = 2104²).

The spelling of 164426800 in words is "one hundred sixty-four million, four hundred twenty-six thousand, eight hundred".