190039920 has 320 divisors, whose sum is σ = 719953920. Its totient is φ = 40550400.

The previous prime is 190039909. The next prime is 190039921. The reversal of 190039920 is 29930091.

It is a super-2 number, since 2×190039920² = 72230342387212800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190039921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2135236 + ... + 2135324.

It is an arithmetic number, because the mean of its divisors is an integer number (2249856).

Almost surely, 2^190039920 is an apocalyptic number.

190039920 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 190039920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359976960).

190039920 is an abundant number, since it is smaller than the sum of its proper divisors (529914000).

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

190039920 is a wasteful number, since it uses less digits than its factorization.

190039920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 33.

The square root of 190039920 is about 13785.4967266327. The cubic root of 190039920 is about 574.9299675261.

The spelling of 190039920 in words is "one hundred ninety million, thirty-nine thousand, nine hundred twenty".