971411616 has 240 divisors, whose sum is σ = 3355583616. Its totient is φ = 269858304.

The previous prime is 971411561. The next prime is 971411621. The reversal of 971411616 is 616114179.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 670605 + ... + 672051.

Almost surely, 2^971411616 is an apocalyptic number.

971411616 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 971411616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677791808).

971411616 is an abundant number, since it is smaller than the sum of its proper divisors (2384172000).

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

971411616 is a wasteful number, since it uses less digits than its factorization.

971411616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513 (or 1496 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 971411616 is about 31167.4768949942. The cubic root of 971411616 is about 990.3782576614.

The spelling of 971411616 in words is "nine hundred seventy-one million, four hundred eleven thousand, six hundred sixteen".