9780540 has 192 divisors, whose sum is σ = 35804160. Its totient is φ = 1935360.

The previous prime is 9780539. The next prime is 9780553. The reversal of 9780540 is 450879.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 133944 + ... + 134016.

It is an arithmetic number, because the mean of its divisors is an integer number (186480).

Almost surely, 2^9780540 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 9780540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17902080).

9780540 is an abundant number, since it is smaller than the sum of its proper divisors (26023620).

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

9780540 is a wasteful number, since it uses less digits than its factorization.

9780540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 9780540 is about 3127.3854895104. The cubic root of 9780540 is about 213.8557562916.

The spelling of 9780540 in words is "nine million, seven hundred eighty thousand, five hundred forty".