971152416 has 216 divisors, whose sum is σ = 3105451440. Its totient is φ = 298411776.

The previous prime is 971152393. The next prime is 971152417. The reversal of 971152416 is 614251179.

971152416 is a `hidden beast` number, since 97 + 1 + 152 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is not an unprimeable number, because it can be changed into a prime (971152417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1313775 + ... + 1314513.

It is an arithmetic number, because the mean of its divisors is an integer number (14377090).

Almost surely, 2^971152416 is an apocalyptic number.

971152416 is a gapful number since it is divisible by the number (96) 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 971152416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552725720).

971152416 is an abundant number, since it is smaller than the sum of its proper divisors (2134299024).

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

971152416 is a wasteful number, since it uses less digits than its factorization.

971152416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 757 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 971152416 is about 31163.3184369059. The cubic root of 971152416 is about 990.2901628806.

The spelling of 971152416 in words is "nine hundred seventy-one million, one hundred fifty-two thousand, four hundred sixteen".