191668896 has 96 divisors (see below), whose sum is σ = 565044480. Its totient is φ = 63203328.

The previous prime is 191668861. The next prime is 191668909. The reversal of 191668896 is 698866191.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82665 + ... + 84951.

It is an arithmetic number, because the mean of its divisors is an integer number (5885880).

Almost surely, 2^191668896 is an apocalyptic number.

191668896 is a gapful number since it is divisible by the number (16) 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 191668896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282522240).

191668896 is an abundant number, since it is smaller than the sum of its proper divisors (373375584).

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

191668896 is a wasteful number, since it uses less digits than its factorization.

191668896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2403 (or 2389 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The square root of 191668896 is about 13844.4536186879. The cubic root of 191668896 is about 576.5680160620.

The spelling of 191668896 in words is "one hundred ninety-one million, six hundred sixty-eight thousand, eight hundred ninety-six".