190123920 has 360 divisors, whose sum is σ = 788916024. Its totient is φ = 40771584.

The previous prime is 190123919. The next prime is 190123951. The reversal of 190123920 is 29321091.

It can be written as a sum of positive squares in 4 ways, for example, as 7225344 + 182898576 = 2688^2 + 13524^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×190123920² = 72294209912332800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 599602 + ... + 599918.

Almost surely, 2^190123920 is an apocalyptic number.

190123920 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 190123920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394458012).

190123920 is an abundant number, since it is smaller than the sum of its proper divisors (598792104).

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

190123920 is a wasteful number, since it uses less digits than its factorization.

190123920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 190123920 is about 13788.5430702449. The cubic root of 190123920 is about 575.0146637722.

The spelling of 190123920 in words is "one hundred ninety million, one hundred twenty-three thousand, nine hundred twenty".