9970464 has 96 divisors (see below), whose sum is σ = 30796416. Its totient is φ = 2764800.

The previous prime is 9970463. The next prime is 9970481. The reversal of 9970464 is 4640799.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (9970463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24664 + ... + 25064.

It is an arithmetic number, because the mean of its divisors is an integer number (320796).

Almost surely, 2^9970464 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 9970464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15398208).

9970464 is an abundant number, since it is smaller than the sum of its proper divisors (20825952).

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

9970464 is a wasteful number, since it uses less digits than its factorization.

9970464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 9970464 is about 3157.6041550517. The cubic root of 9970464 is about 215.2311485525.

The spelling of 9970464 in words is "nine million, nine hundred seventy thousand, four hundred sixty-four".