191959040 has 208 divisors, whose sum is σ = 572452608. Its totient is φ = 60162048.

The previous prime is 191959039. The next prime is 191959043. The reversal of 191959040 is 40959191.

It is a tau number, because it is divible by the number of its divisors (208).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 191958985 and 191959003.

It is not an unprimeable number, because it can be changed into a prime (191959043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1863629 + ... + 1863731.

It is an arithmetic number, because the mean of its divisors is an integer number (2752176).

Almost surely, 2^191959040 is an apocalyptic number.

191959040 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 191959040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286226304).

191959040 is an abundant number, since it is smaller than the sum of its proper divisors (380493568).

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

191959040 is a wasteful number, since it uses less digits than its factorization.

191959040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 38.

The square root of 191959040 is about 13854.9283650259. The cubic root of 191959040 is about 576.8588012176.

The spelling of 191959040 in words is "one hundred ninety-one million, nine hundred fifty-nine thousand, forty".