971658240 has 264 divisors, whose sum is σ = 3617982432. Its totient is φ = 221921280.

The previous prime is 971658223. The next prime is 971658277. The reversal of 971658240 is 42856179.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 971658192 and 971658201.

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, 751995 + ... + 753285.

Almost surely, 2^971658240 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 971658240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808991216).

971658240 is an abundant number, since it is smaller than the sum of its proper divisors (2646324192).

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

971658240 is a wasteful number, since it uses less digits than its factorization.

971658240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 971658240 is about 31171.4330758148. The cubic root of 971658240 is about 990.4620636663.

The spelling of 971658240 in words is "nine hundred seventy-one million, six hundred fifty-eight thousand, two hundred forty".