971036640 has 384 divisors, whose sum is σ = 3927813120. Its totient is φ = 219469824.

The previous prime is 971036611. The next prime is 971036641. The reversal of 971036640 is 46630179.

971036640 is a `hidden beast` number, since 9 + 7 + 1 + 0 + 3 + 6 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 971036595 and 971036604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (971036641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4929022 + ... + 4929218.

It is an arithmetic number, because the mean of its divisors is an integer number (10228680).

Almost surely, 2^971036640 is an apocalyptic number.

971036640 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 971036640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1963906560).

971036640 is an abundant number, since it is smaller than the sum of its proper divisors (2956776480).

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

971036640 is a wasteful number, since it uses less digits than its factorization.

971036640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 971036640 is about 31161.4608129978. The cubic root of 971036640 is about 990.2508088141.

The spelling of 971036640 in words is "nine hundred seventy-one million, thirty-six thousand, six hundred forty".