9767940 has 96 divisors (see below), whose sum is σ = 33680640. Its totient is φ = 2059776.

The previous prime is 9767929. The next prime is 9767941. The reversal of 9767940 is 497679.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 9767892 and 9767901.

It is not an unprimeable number, because it can be changed into a prime (9767941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4566 + ... + 6354.

It is an arithmetic number, because the mean of its divisors is an integer number (350840).

Almost surely, 2^9767940 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 9767940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16840320).

9767940 is an abundant number, since it is smaller than the sum of its proper divisors (23912700).

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

9767940 is a wasteful number, since it uses less digits than its factorization.

9767940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The square root of 9767940 is about 3125.3703780512. The cubic root of 9767940 is about 213.7638820026.

The spelling of 9767940 in words is "nine million, seven hundred sixty-seven thousand, nine hundred forty".