193992020 has 48 divisors (see below), whose sum is σ = 423858960. Its totient is φ = 74489856.

The previous prime is 193991989. The next prime is 193992023. The reversal of 193992020 is 20299391.

It can be written as a sum of positive squares in 8 ways, for example, as 9412624 + 184579396 = 3068^2 + 13586^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193992023) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 111074 + ... + 112806.

It is an arithmetic number, because the mean of its divisors is an integer number (8830395).

Almost surely, 2^193992020 is an apocalyptic number.

193992020 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 193992020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211929480).

193992020 is an abundant number, since it is smaller than the sum of its proper divisors (229866940).

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

193992020 is a wasteful number, since it uses less digits than its factorization.

193992020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1964 (or 1962 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 35.

The square root of 193992020 is about 13928.1018089329. The cubic root of 193992020 is about 578.8880996569. Note that the first 3 decimals are identical.

The spelling of 193992020 in words is "one hundred ninety-three million, nine hundred ninety-two thousand, twenty".