191829040 has 80 divisors (see below), whose sum is σ = 487656288. Its totient is φ = 69746688.

The previous prime is 191829031. The next prime is 191829047. The reversal of 191829040 is 40928191.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 191828987 and 191829005.

It is not an unprimeable number, because it can be changed into a prime (191829047) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 68304 + ... + 71056.

Almost surely, 2^191829040 is an apocalyptic number.

191829040 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 191829040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243828144).

191829040 is an abundant number, since it is smaller than the sum of its proper divisors (295827248).

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

191829040 is a wasteful number, since it uses less digits than its factorization.

191829040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2846 (or 2840 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 34.

The square root of 191829040 is about 13850.2360990707. The cubic root of 191829040 is about 576.7285502027.

The spelling of 191829040 in words is "one hundred ninety-one million, eight hundred twenty-nine thousand, forty".