190886816 has 72 divisors (see below), whose sum is σ = 401011884. Its totient is φ = 89384960.

The previous prime is 190886807. The next prime is 190886849. The reversal of 190886816 is 618688091.

190886816 = T₂₀₈ + T₂₀₉ + ... + T₁₀₄₈.

It can be written as a sum of positive squares in 6 ways, for example, as 92083216 + 98803600 = 9596^2 + 9940^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1103306 + ... + 1103478.

Almost surely, 2^190886816 is an apocalyptic number.

190886816 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 190886816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200505942).

190886816 is an abundant number, since it is smaller than the sum of its proper divisors (210125068).

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

190886816 is a wasteful number, since it uses less digits than its factorization.

190886816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 47.

The square root of 190886816 is about 13816.1795008606. The cubic root of 190886816 is about 575.7827434252.

The spelling of 190886816 in words is "one hundred ninety million, eight hundred eighty-six thousand, eight hundred sixteen".