970945600 has 189 divisors, whose sum is σ = 2584494831. Its totient is φ = 358963200.

The previous prime is 970945597. The next prime is 970945603. The reversal of 970945600 is 6549079.

The square root of 970945600 is 31160.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (970945597) and next prime (970945603).

It can be written as a sum of positive squares in 4 ways, for example, as 408686656 + 562258944 = 20216^2 + 23712^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (970945603) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23681580 + ... + 23681620.

Almost surely, 2^970945600 is an apocalyptic number.

970945600 is the 31160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 970945600

970945600 is an abundant number, since it is smaller than the sum of its proper divisors (1613549231).

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

970945600 is a wasteful number, since it uses less digits than its factorization.

970945600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 40.

The cubic root of 970945600 is about 990.2198607024.

The spelling of 970945600 in words is "nine hundred seventy million, nine hundred forty-five thousand, six hundred".