191582040 has 128 divisors (see below), whose sum is σ = 624476160. Its totient is φ = 46738944.

The previous prime is 191581981. The next prime is 191582047. The reversal of 191582040 is 40285191.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 191581989 and 191582007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (191582047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197637 + ... + 198603.

It is an arithmetic number, because the mean of its divisors is an integer number (4878720).

Almost surely, 2^191582040 is an apocalyptic number.

191582040 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 191582040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312238080).

191582040 is an abundant number, since it is smaller than the sum of its proper divisors (432894120).

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

191582040 is a wasteful number, since it uses less digits than its factorization.

191582040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 191582040 is about 13841.3164113823. The cubic root of 191582040 is about 576.4809110613.

The spelling of 191582040 in words is "one hundred ninety-one million, five hundred eighty-two thousand, forty".