8935040 has 64 divisors (see below), whose sum is σ = 22325760. Its totient is φ = 3412992.

The previous prime is 8935039. The next prime is 8935049. The reversal of 8935040 is 405398.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 8934994 and 8935012.

It is not an unprimeable number, because it can be changed into a prime (8935049) 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 7 ways as a sum of consecutive naturals, for example, 14417 + ... + 15023.

It is an arithmetic number, because the mean of its divisors is an integer number (348840).

Almost surely, 2^8935040 is an apocalyptic number.

8935040 is a gapful number since it is divisible by the number (80) 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 8935040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11162880).

8935040 is an abundant number, since it is smaller than the sum of its proper divisors (13390720).

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

8935040 is a wasteful number, since it uses less digits than its factorization.

8935040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 8935040 is about 2989.1537263915. The cubic root of 8935040 is about 207.5067206417.

The spelling of 8935040 in words is "eight million, nine hundred thirty-five thousand, forty".