971136864 has 144 divisors (see below), whose sum is σ = 2905943040. Its totient is φ = 318971520.

The previous prime is 971136851. The next prime is 971136871. The reversal of 971136864 is 468631179.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 551217 + ... + 552975.

It is an arithmetic number, because the mean of its divisors is an integer number (20180160).

Almost surely, 2^971136864 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 971136864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452971520).

971136864 is an abundant number, since it is smaller than the sum of its proper divisors (1934806176).

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

971136864 is a wasteful number, since it uses less digits than its factorization.

971136864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1855 (or 1835 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 971136864 is about 31163.0689117744. The cubic root of 971136864 is about 990.2848766953.

The spelling of 971136864 in words is "nine hundred seventy-one million, one hundred thirty-six thousand, eight hundred sixty-four".