970987248 has 360 divisors, whose sum is σ = 3601852800. Its totient is φ = 238360320.

The previous prime is 970987247. The next prime is 970987253. The reversal of 970987248 is 842789079.

It is a super-4 number, since 4×970987248⁴ (a number of 37 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 970987194 and 970987203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (970987247) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2317183 + ... + 2317601.

Almost surely, 2^970987248 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 970987248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800926400).

970987248 is an abundant number, since it is smaller than the sum of its proper divisors (2630865552).

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

970987248 is a wasteful number, since it uses less digits than its factorization.

970987248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 970987248 is about 31160.6682855166. The cubic root of 970987248 is about 990.2340187518.

The spelling of 970987248 in words is "nine hundred seventy million, nine hundred eighty-seven thousand, two hundred forty-eight".