192420000 has 180 divisors, whose sum is σ = 684413730. Its totient is φ = 51264000.

The previous prime is 192419987. The next prime is 192420013. The reversal of 192420000 is 24291.

It is an interprime number because it is at equal distance from previous prime (192419987) and next prime (192420013).

It can be written as a sum of positive squares in 5 ways, for example, as 1648656 + 190771344 = 1284^2 + 13812^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 29 ways as a sum of consecutive naturals, for example, 179466 + ... + 180534.

Almost surely, 2^192420000 is an apocalyptic number.

192420000 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 192420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342206865).

192420000 is an abundant number, since it is smaller than the sum of its proper divisors (491993730).

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

192420000 is a wasteful number, since it uses less digits than its factorization.

192420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 192420000 is about 13871.5536260363. The cubic root of 192420000 is about 577.3201778914.

Adding to 192420000 its reverse (24291), we get a palindrome (192444291).

The spelling of 192420000 in words is "one hundred ninety-two million, four hundred twenty thousand".