970011024 has 160 divisors (see below), whose sum is σ = 2772144000. Its totient is φ = 290906112.

The previous prime is 970011023. The next prime is 970011073. The reversal of 970011024 is 420110079.

It is a Cunningham number, because it is equal to 31145²-1.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 970010985 and 970011003.

It is not an unprimeable number, because it can be changed into a prime (970011023) 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 31 ways as a sum of consecutive naturals, for example, 4235742 + ... + 4235970.

It is an arithmetic number, because the mean of its divisors is an integer number (17325900).

Almost surely, 2^970011024 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 970011024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386072000).

970011024 is an abundant number, since it is smaller than the sum of its proper divisors (1802132976).

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

970011024 is a wasteful number, since it uses less digits than its factorization.

970011024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 970011024 is about 31144.9999839461. Note that the first 4 decimals coincide. The cubic root of 970011024 is about 989.9020492826.

The spelling of 970011024 in words is "nine hundred seventy million, eleven thousand, twenty-four".