9809040 has 80 divisors (see below), whose sum is σ = 31747968. Its totient is φ = 2500608.

The previous prime is 9809029. The next prime is 9809057. The reversal of 9809040 is 409089.

9809040 = T₂₁ + T₂₂ + ... + T₃₈₈.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 9808989 and 9809007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4632 + ... + 6408.

Almost surely, 2^9809040 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 9809040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15873984).

9809040 is an abundant number, since it is smaller than the sum of its proper divisors (21938928).

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

9809040 is a wasteful number, since it uses less digits than its factorization.

9809040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1816 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 9809040 is about 3131.9386967181. The cubic root of 9809040 is about 214.0632764815.

The spelling of 9809040 in words is "nine million, eight hundred nine thousand, forty".