9870840 has 96 divisors (see below), whose sum is σ = 36672480. Its totient is φ = 2255616.

The previous prime is 9870827. The next prime is 9870851. The reversal of 9870840 is 480789.

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 = 9870795 and 9870804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 562 + ... + 4478.

It is an arithmetic number, because the mean of its divisors is an integer number (382005).

Almost surely, 2^9870840 is an apocalyptic number.

9870840 is a gapful number since it is divisible by the number (90) 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 9870840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18336240).

9870840 is an abundant number, since it is smaller than the sum of its proper divisors (26801640).

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

9870840 is a wasteful number, since it uses less digits than its factorization.

9870840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3941 (or 3934 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 9870840 is about 3141.7892991097. The cubic root of 9870840 is about 214.5118907129.

The spelling of 9870840 in words is "nine million, eight hundred seventy thousand, eight hundred forty".