164400192 has 252 divisors, whose sum is σ = 550852848. Its totient is φ = 48211200.

The previous prime is 164400191. The next prime is 164400211. The reversal of 164400192 is 291004461.

164400192 is a `hidden beast` number, since 1 + 644 + 0 + 0 + 19 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (164400191) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5303217 + ... + 5303247.

It is an arithmetic number, because the mean of its divisors is an integer number (2185924).

Almost surely, 2^164400192 is an apocalyptic number.

164400192 is a gapful number since it is divisible by the number (12) 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 164400192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275426424).

164400192 is an abundant number, since it is smaller than the sum of its proper divisors (386452656).

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

164400192 is an equidigital number, since it uses as much as digits as its factorization.

164400192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 164400192 is about 12821.8638270729. The cubic root of 164400192 is about 547.8152359874.

The spelling of 164400192 in words is "one hundred sixty-four million, four hundred thousand, one hundred ninety-two".