191829690 has 96 divisors (see below), whose sum is σ = 541771776. Its totient is φ = 46811520.

The previous prime is 191829667. The next prime is 191829733. The reversal of 191829690 is 96928191.

It is a super-2 number, since 2×191829690² = 73597259930992200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147945 + ... + 149235.

It is an arithmetic number, because the mean of its divisors is an integer number (5643456).

Almost surely, 2^191829690 is an apocalyptic number.

191829690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 191829690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270885888).

191829690 is an abundant number, since it is smaller than the sum of its proper divisors (349942086).

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

191829690 is a wasteful number, since it uses less digits than its factorization.

191829690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The square root of 191829690 is about 13850.2595643547. The cubic root of 191829690 is about 576.7292016041.

The spelling of 191829690 in words is "one hundred ninety-one million, eight hundred twenty-nine thousand, six hundred ninety".