164362800 has 240 divisors, whose sum is σ = 637673472. Its totient is φ = 35328000.

The previous prime is 164362777. The next prime is 164362831. The reversal of 164362800 is 8263461.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142225 + ... + 143375.

Almost surely, 2^164362800 is an apocalyptic number.

164362800 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 164362800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318836736).

164362800 is an abundant number, since it is smaller than the sum of its proper divisors (473310672).

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

164362800 is a wasteful number, since it uses less digits than its factorization.

164362800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 164362800 is about 12820.4056098081. The cubic root of 164362800 is about 547.7737002279.

The spelling of 164362800 in words is "one hundred sixty-four million, three hundred sixty-two thousand, eight hundred".