191620016 has 80 divisors (see below), whose sum is σ = 455328000. Its totient is φ = 76287744.

The previous prime is 191619991. The next prime is 191620027. The reversal of 191620016 is 610026191.

191620016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 111935 + ... + 113633.

It is an arithmetic number, because the mean of its divisors is an integer number (5691600).

Almost surely, 2^191620016 is an apocalyptic number.

191620016 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 191620016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227664000).

191620016 is an abundant number, since it is smaller than the sum of its proper divisors (263707984).

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

191620016 is a wasteful number, since it uses less digits than its factorization.

191620016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 26.

The square root of 191620016 is about 13842.6881782405. The cubic root of 191620016 is about 576.5189991700.

It can be divided in two parts, 19 and 1620016, that multiplied together give a square (30780304 = 5548²).

The spelling of 191620016 in words is "one hundred ninety-one million, six hundred twenty thousand, sixteen".