191493760 has 48 divisors (see below), whose sum is σ = 458628210. Its totient is φ = 76457472.

The previous prime is 191493737. The next prime is 191493769. The reversal of 191493760 is 67394191.

191493760 is nontrivially palindromic in base 3.

191493760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 172344384 + 19149376 = 13128^2 + 4376^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (191493769) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 349807 + ... + 350353.

Almost surely, 2^191493760 is an apocalyptic number.

191493760 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 191493760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229314105).

191493760 is an abundant number, since it is smaller than the sum of its proper divisors (267134450).

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

191493760 is an frugal number, since it uses more digits than its factorization.

191493760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 40.

The square root of 191493760 is about 13838.1270408968. The cubic root of 191493760 is about 576.3923509963.

Multiplying 191493760 by its sum of digits (40), we get a square (7659750400 = 87520²).

191493760 divided by its sum of digits (40) gives a square (4787344 = 2188²).

The spelling of 191493760 in words is "one hundred ninety-one million, four hundred ninety-three thousand, seven hundred sixty".