164405600 has 36 divisors (see below), whose sum is σ = 401357124. Its totient is φ = 65761920.

The previous prime is 164405581. The next prime is 164405627. The reversal of 164405600 is 6504461.

It is a happy number.

It is a super-3 number, since 3×164405600³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 164405600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 101954 + ... + 103553.

It is an arithmetic number, because the mean of its divisors is an integer number (11148809).

Almost surely, 2^164405600 is an apocalyptic number.

164405600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164405600 is an abundant number, since it is smaller than the sum of its proper divisors (236951524).

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

164405600 is a wasteful number, since it uses less digits than its factorization.

164405600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205527 (or 205514 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 164405600 is about 12822.0747151153. The cubic root of 164405600 is about 547.8212427774.

The spelling of 164405600 in words is "one hundred sixty-four million, four hundred five thousand, six hundred".