191802816 has 98 divisors (see below), whose sum is σ = 570790832. Its totient is φ = 63918720.

The previous prime is 191802811. The next prime is 191802827. The reversal of 191802816 is 618208191.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (191802811) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 44601 + ... + 48711.

Almost surely, 2^191802816 is an apocalyptic number.

191802816 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 191802816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285395416).

191802816 is an abundant number, since it is smaller than the sum of its proper divisors (378988016).

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

191802816 is an frugal number, since it uses more digits than its factorization.

191802816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4141 (or 4116 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 191802816 is about 13849.2893680506. The cubic root of 191802816 is about 576.7022684351.

The spelling of 191802816 in words is "one hundred ninety-one million, eight hundred two thousand, eight hundred sixteen".