9957948 has 96 divisors (see below), whose sum is σ = 31234560. Its totient is φ = 2384640.

The previous prime is 9957947. The next prime is 9957967. The reversal of 9957948 is 8497599.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 9957948.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9957947) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11598 + ... + 12426.

It is an arithmetic number, because the mean of its divisors is an integer number (325360).

Almost surely, 2^9957948 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 9957948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15617280).

9957948 is an abundant number, since it is smaller than the sum of its proper divisors (21276612).

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

9957948 is a wasteful number, since it uses less digits than its factorization.

9957948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 865 counting only the distinct ones).

The product of its digits is 816480, while the sum is 51.

The square root of 9957948 is about 3155.6216503250. The cubic root of 9957948 is about 215.1410504040.

The spelling of 9957948 in words is "nine million, nine hundred fifty-seven thousand, nine hundred forty-eight".