191792640 has 320 divisors, whose sum is σ = 705329856. Its totient is φ = 44040192.

The previous prime is 191792603. The next prime is 191792647. The reversal of 191792640 is 46297191.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (191792647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1697224 + ... + 1697336.

Almost surely, 2^191792640 is an apocalyptic number.

191792640 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 191792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352664928).

191792640 is an abundant number, since it is smaller than the sum of its proper divisors (513537216).

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

191792640 is a wasteful number, since it uses less digits than its factorization.

191792640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 191792640 is about 13848.9219797066. The cubic root of 191792640 is about 576.6920693737.

The spelling of 191792640 in words is "one hundred ninety-one million, seven hundred ninety-two thousand, six hundred forty".