191298240 has 224 divisors, whose sum is σ = 771509760. Its totient is φ = 43711488.

The previous prime is 191298227. The next prime is 191298281. The reversal of 191298240 is 42892191.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 191298195 and 191298204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58899 + ... + 62061.

It is an arithmetic number, because the mean of its divisors is an integer number (3444240).

Almost surely, 2^191298240 is an apocalyptic number.

191298240 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 191298240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385754880).

191298240 is an abundant number, since it is smaller than the sum of its proper divisors (580211520).

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

191298240 is a wasteful number, since it uses less digits than its factorization.

191298240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3196 (or 3180 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 191298240 is about 13831.0606968519. The cubic root of 191298240 is about 576.1961137761.

The spelling of 191298240 in words is "one hundred ninety-one million, two hundred ninety-eight thousand, two hundred forty".