970240320 has 672 divisors, whose sum is σ = 4279392000. Its totient is φ = 196411392.

The previous prime is 970240291. The next prime is 970240321. The reversal of 970240320 is 23042079.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (970240321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6511606 + ... + 6511754.

Almost surely, 2^970240320 is an apocalyptic number.

970240320 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 970240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2139696000).

970240320 is an abundant number, since it is smaller than the sum of its proper divisors (3309151680).

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

970240320 is a wasteful number, since it uses less digits than its factorization.

970240320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 970240320 is about 31148.6808709454. The cubic root of 970240320 is about 989.9800424504.

Adding to 970240320 its reverse (23042079), we get a palindrome (993282399).

The spelling of 970240320 in words is "nine hundred seventy million, two hundred forty thousand, three hundred twenty".