970382616 has 64 divisors (see below), whose sum is σ = 2794414080. Its totient is φ = 275063040.

The previous prime is 970382603. The next prime is 970382653. The reversal of 970382616 is 616283079.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1405 + ... + 44076.

It is an arithmetic number, because the mean of its divisors is an integer number (43662720).

Almost surely, 2^970382616 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 970382616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397207040).

970382616 is an abundant number, since it is smaller than the sum of its proper divisors (1824031464).

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

970382616 is a wasteful number, since it uses less digits than its factorization.

970382616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45624 (or 45620 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 970382616 is about 31150.9649288750. The cubic root of 970382616 is about 990.0284370977.

The spelling of 970382616 in words is "nine hundred seventy million, three hundred eighty-two thousand, six hundred sixteen".