192920 has 64 divisors (see below), whose sum is σ = 544320. Its totient is φ = 59904.

The previous prime is 192917. The next prime is 192923. The reversal of 192920 is 29291.

192920 = T₁ + T₂ + ... + T₁₀₄.

192920 = 163² + 164² + ... + 169².

192920 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

192920 is a nontrivial binomial coefficient, being equal to C(106, 3).

It is an interprime number because it is at equal distance from previous prime (192917) and next prime (192923).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (192923) by changing a digit.

It is the 104-th tetrahedral number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3614 + ... + 3666.

It is an arithmetic number, because the mean of its divisors is an integer number (8505).

2¹⁹²⁹²⁰ is an apocalyptic number.

192920 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 192920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272160).

192920 is an abundant number, since it is smaller than the sum of its proper divisors (351400).

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

192920 is a wasteful number, since it uses less digits than its factorization.

192920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 192920 is about 439.2265930018. The cubic root of 192920 is about 57.7819797514.

The spelling of 192920 in words is "one hundred ninety-two thousand, nine hundred twenty".