8735940 has 36 divisors (see below), whose sum is σ = 26499564. Its totient is φ = 2329536.

The previous prime is 8735933. The next prime is 8735941. The reversal of 8735940 is 495378.

It can be written as a sum of positive squares in 2 ways, for example, as 5645376 + 3090564 = 2376^2 + 1758^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 8735895 and 8735904.

It is not an unprimeable number, because it can be changed into a prime (8735941) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24087 + ... + 24446.

It is an arithmetic number, because the mean of its divisors is an integer number (736099).

Almost surely, 2^8735940 is an apocalyptic number.

It is an amenable number.

8735940 is an abundant number, since it is smaller than the sum of its proper divisors (17763624).

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

8735940 is a wasteful number, since it uses less digits than its factorization.

8735940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48548 (or 48543 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 8735940 is about 2955.6623623141. The cubic root of 8735940 is about 205.9538338749.

The spelling of 8735940 in words is "eight million, seven hundred thirty-five thousand, nine hundred forty".