9720540 has 96 divisors (see below), whose sum is σ = 30965760. Its totient is φ = 2530368.

The previous prime is 9720523. The next prime is 9720547. The reversal of 9720540 is 450279.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9720547) 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 31 ways as a sum of consecutive naturals, for example, 25189 + ... + 25571.

It is an arithmetic number, because the mean of its divisors is an integer number (322560).

Almost surely, 2^9720540 is an apocalyptic number.

9720540 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 9720540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15482880).

9720540 is an abundant number, since it is smaller than the sum of its proper divisors (21245220).

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

9720540 is a wasteful number, since it uses less digits than its factorization.

9720540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 9720540 is about 3117.7780549616. The cubic root of 9720540 is about 213.4175502999.

The spelling of 9720540 in words is "nine million, seven hundred twenty thousand, five hundred forty".