190956080 has 160 divisors (see below), whose sum is σ = 542108160. Its totient is φ = 61102080.

The previous prime is 190956067. The next prime is 190956083. The reversal of 190956080 is 80659091.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (190956083) 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 31 ways as a sum of consecutive naturals, for example, 1393772 + ... + 1393908.

It is an arithmetic number, because the mean of its divisors is an integer number (3388176).

Almost surely, 2^190956080 is an apocalyptic number.

190956080 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 190956080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271054080).

190956080 is an abundant number, since it is smaller than the sum of its proper divisors (351152080).

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

190956080 is a wasteful number, since it uses less digits than its factorization.

190956080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 38.

The square root of 190956080 is about 13818.6858998966. The cubic root of 190956080 is about 575.8523766492.

The spelling of 190956080 in words is "one hundred ninety million, nine hundred fifty-six thousand, eighty".