971355240 has 320 divisors, whose sum is σ = 3554496000. Its totient is φ = 237012480.

The previous prime is 971355239. The next prime is 971355247. The reversal of 971355240 is 42553179.

971355240 is a `hidden beast` number, since 97 + 13 + 552 + 4 + 0 = 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 = 971355195 and 971355204.

It is not an unprimeable number, because it can be changed into a prime (971355247) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1908106 + ... + 1908614.

It is an arithmetic number, because the mean of its divisors is an integer number (11107800).

Almost surely, 2^971355240 is an apocalyptic number.

971355240 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 971355240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1777248000).

971355240 is an abundant number, since it is smaller than the sum of its proper divisors (2583140760).

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

971355240 is a wasteful number, since it uses less digits than its factorization.

971355240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 971355240 is about 31166.5724775760. The cubic root of 971355240 is about 990.3590983802.

The spelling of 971355240 in words is "nine hundred seventy-one million, three hundred fifty-five thousand, two hundred forty".