191278080 has 264 divisors, whose sum is σ = 758732832. Its totient is φ = 43646976.

The previous prime is 191278069. The next prime is 191278093. The reversal of 191278080 is 80872191.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 322264 + ... + 322856.

It is an arithmetic number, because the mean of its divisors is an integer number (2873988).

Almost surely, 2^191278080 is an apocalyptic number.

191278080 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 191278080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379366416).

191278080 is an abundant number, since it is smaller than the sum of its proper divisors (567454752).

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

191278080 is a wasteful number, since it uses less digits than its factorization.

191278080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 191278080 is about 13830.3318832196. The cubic root of 191278080 is about 576.1758722207.

The spelling of 191278080 in words is "one hundred ninety-one million, two hundred seventy-eight thousand, eighty".