9958464 has 140 divisors (see below), whose sum is σ = 31533084. Its totient is φ = 3096576.

The previous prime is 9958463. The next prime is 9958519. The reversal of 9958464 is 4648599.

It is a happy number.

9958464 is a `hidden beast` number, since 9 + 9 + 584 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3240000 + 6718464 = 1800^2 + 2592^2 .

Its product of digits (311040) is a multiple of the sum of its prime divisors (135).

It is not an unprimeable number, because it can be changed into a prime (9958463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 88072 + ... + 88184.

Almost surely, 2^9958464 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 9958464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15766542).

9958464 is an abundant number, since it is smaller than the sum of its proper divisors (21574620).

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

9958464 is a wasteful number, since it uses less digits than its factorization.

9958464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 135 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 9958464 is about 3155.7034081168. The cubic root of 9958464 is about 215.1447663927.

The spelling of 9958464 in words is "nine million, nine hundred fifty-eight thousand, four hundred sixty-four".