190859840 has 56 divisors (see below), whose sum is σ = 455672952. Its totient is φ = 76144640.

The previous prime is 190859827. The next prime is 190859863. The reversal of 190859840 is 48958091.

190859840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 43771456 + 147088384 = 6616^2 + 12128^2 .

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 190859791 and 190859800.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 216200 + ... + 217080.

It is an arithmetic number, because the mean of its divisors is an integer number (8137017).

Almost surely, 2^190859840 is an apocalyptic number.

190859840 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 190859840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227836476).

190859840 is an abundant number, since it is smaller than the sum of its proper divisors (264813112).

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

190859840 is an equidigital number, since it uses as much as digits as its factorization.

190859840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 44.

The square root of 190859840 is about 13815.2032196418. The cubic root of 190859840 is about 575.7556190672.

The spelling of 190859840 in words is "one hundred ninety million, eight hundred fifty-nine thousand, eight hundred forty".