191507040 has 144 divisors (see below), whose sum is σ = 692048448. Its totient is φ = 48058368.

The previous prime is 191507027. The next prime is 191507047. The reversal of 191507040 is 40705191.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 191506995 and 191507013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (191507047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20569 + ... + 28391.

It is an arithmetic number, because the mean of its divisors is an integer number (4805892).

Almost surely, 2^191507040 is an apocalyptic number.

191507040 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 191507040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346024224).

191507040 is an abundant number, since it is smaller than the sum of its proper divisors (500541408).

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

191507040 is a wasteful number, since it uses less digits than its factorization.

191507040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7861 (or 7850 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 191507040 is about 13838.6068662998. The cubic root of 191507040 is about 576.4056748656.

The spelling of 191507040 in words is "one hundred ninety-one million, five hundred seven thousand, forty".