971267220 has 576 divisors, whose sum is σ = 3971358720. Its totient is φ = 194745600.

The previous prime is 971267191. The next prime is 971267221. The reversal of 971267220 is 22762179.

971267220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (971267221) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13679785 + ... + 13679855.

It is an arithmetic number, because the mean of its divisors is an integer number (6894720).

Almost surely, 2^971267220 is an apocalyptic number.

971267220 is a gapful number since it is divisible by the number (90) 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 971267220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985679360).

971267220 is an abundant number, since it is smaller than the sum of its proper divisors (3000091500).

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

971267220 is a wasteful number, since it uses less digits than its factorization.

971267220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 971267220 is about 31165.1603557562. The cubic root of 971267220 is about 990.3291834608.

The spelling of 971267220 in words is "nine hundred seventy-one million, two hundred sixty-seven thousand, two hundred twenty".