970242624 has 168 divisors, whose sum is σ = 3106521600. Its totient is φ = 298473984.

The previous prime is 970242617. The next prime is 970242643. The reversal of 970242624 is 426242079.

970242624 is a `hidden beast` number, since 9 + 7 + 0 + 24 + 2 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 199777 + ... + 204575.

It is an arithmetic number, because the mean of its divisors is an integer number (18491200).

Almost surely, 2^970242624 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 970242624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553260800).

970242624 is an abundant number, since it is smaller than the sum of its proper divisors (2136278976).

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

970242624 is a wasteful number, since it uses less digits than its factorization.

970242624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4839 (or 4817 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 970242624 is about 31148.7178548331. The cubic root of 970242624 is about 989.9808260749.

It can be divided in two parts, 9702 and 42624, that added together give a triangular number (52326 = T₃₂₃).

The spelling of 970242624 in words is "nine hundred seventy million, two hundred forty-two thousand, six hundred twenty-four".