9957080 has 64 divisors (see below), whose sum is σ = 26231040. Its totient is φ = 3330432.

The previous prime is 9957067. The next prime is 9957089. The reversal of 9957080 is 807599.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9957089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11627 + ... + 12453.

It is an arithmetic number, because the mean of its divisors is an integer number (409860).

Almost surely, 2^9957080 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 9957080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13115520).

9957080 is an abundant number, since it is smaller than the sum of its proper divisors (16273960).

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

9957080 is a wasteful number, since it uses less digits than its factorization.

9957080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 38.

The square root of 9957080 is about 3155.4841149973. The cubic root of 9957080 is about 215.1347991878.

The spelling of 9957080 in words is "nine million, nine hundred fifty-seven thousand, eighty".