970631424 has 252 divisors, whose sum is σ = 3324328896. Its totient is φ = 276950016.

The previous prime is 970631423. The next prime is 970631429. The reversal of 970631424 is 424136079.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×970631424² = 1884250722512535552, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (970631423) 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 27 ways as a sum of consecutive naturals, for example, 1305997 + ... + 1306739.

Almost surely, 2^970631424 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 970631424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662164448).

970631424 is an abundant number, since it is smaller than the sum of its proper divisors (2353697472).

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

970631424 is an frugal number, since it uses more digits than its factorization.

970631424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 970631424 is about 31154.9582570736. The cubic root of 970631424 is about 990.1130449425.

The spelling of 970631424 in words is "nine hundred seventy million, six hundred thirty-one thousand, four hundred twenty-four".