971184240 has 480 divisors, whose sum is σ = 3813089280. Its totient is φ = 219469824.

The previous prime is 971184199. The next prime is 971184241. The reversal of 971184240 is 42481179.

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 971184195 and 971184204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (971184241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7647057 + ... + 7647183.

It is an arithmetic number, because the mean of its divisors is an integer number (7943936).

Almost surely, 2^971184240 is an apocalyptic number.

971184240 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 971184240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1906544640).

971184240 is an abundant number, since it is smaller than the sum of its proper divisors (2841905040).

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

971184240 is a wasteful number, since it uses less digits than its factorization.

971184240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 971184240 is about 31163.8290330312. The cubic root of 971184240 is about 990.3009798061.

The spelling of 971184240 in words is "nine hundred seventy-one million, one hundred eighty-four thousand, two hundred forty".