971878208 has 112 divisors (see below), whose sum is σ = 2273564160. Its totient is φ = 403613184.

The previous prime is 971878181. The next prime is 971878249. The reversal of 971878208 is 802878179.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2193635 + ... + 2194077.

It is an arithmetic number, because the mean of its divisors is an integer number (20299680).

Almost surely, 2^971878208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 971878208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136782080).

971878208 is an abundant number, since it is smaller than the sum of its proper divisors (1301685952).

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

971878208 is a wasteful number, since it uses less digits than its factorization.

971878208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 50.

The square root of 971878208 is about 31174.9612349398. The cubic root of 971878208 is about 990.5367996559.

The spelling of 971878208 in words is "nine hundred seventy-one million, eight hundred seventy-eight thousand, two hundred eight".