9740880 has 120 divisors (see below), whose sum is σ = 33310368. Its totient is φ = 2550528.

The previous prime is 9740869. The next prime is 9740893. The reversal of 9740880 is 880479.

9740880 = T₂₆₁ + T₂₆₂ + ... + T₄₂₃.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59679 + ... + 59841.

Almost surely, 2^9740880 is an apocalyptic number.

9740880 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9740880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16655184).

9740880 is an abundant number, since it is smaller than the sum of its proper divisors (23569488).

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

9740880 is a wasteful number, since it uses less digits than its factorization.

9740880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 9740880 is about 3121.0382887751. The cubic root of 9740880 is about 213.5663036523.

The spelling of 9740880 in words is "nine million, seven hundred forty thousand, eight hundred eighty".