9957024 has 144 divisors (see below), whose sum is σ = 35380800. Its totient is φ = 2580480.

The previous prime is 9957001. The next prime is 9957029. The reversal of 9957024 is 4207599.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 9957024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9957029) 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 23 ways as a sum of consecutive naturals, for example, 21952 + ... + 22400.

It is an arithmetic number, because the mean of its divisors is an integer number (245700).

Almost surely, 2^9957024 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 9957024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17690400).

9957024 is an abundant number, since it is smaller than the sum of its proper divisors (25423776).

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

9957024 is a wasteful number, since it uses less digits than its factorization.

9957024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 9957024 is about 3155.4752415444. The cubic root of 9957024 is about 215.1343958711.

It can be divided in two parts, 99 and 57024, that multiplied together give a square (5645376 = 2376²).

The spelling of 9957024 in words is "nine million, nine hundred fifty-seven thousand, twenty-four".