971616 has 48 divisors (see below), whose sum is σ = 2646000. Its totient is φ = 311808.

The previous prime is 971591. The next prime is 971639. The reversal of 971616 is 616179.

971616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

971616 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2610 + ... + 2958.

It is an arithmetic number, because the mean of its divisors is an integer number (55125).

2⁹⁷¹⁶¹⁶ is an apocalyptic number.

971616 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 971616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323000).

971616 is an abundant number, since it is smaller than the sum of its proper divisors (1674384).

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

971616 is a wasteful number, since it uses less digits than its factorization.

971616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 383 counting only the distinct ones).

The product of its digits is 2268, while the sum is 30.

The square root of 971616 is about 985.7058384731. The cubic root of 971616 is about 99.0447710978.

The spelling of 971616 in words is "nine hundred seventy-one thousand, six hundred sixteen".