9890640 has 160 divisors (see below), whose sum is σ = 36009600. Its totient is φ = 2488320.

The previous prime is 9890623. The next prime is 9890663. The reversal of 9890640 is 460989.

9890640 is a `hidden beast` number, since 9 + 8 + 9 + 0 + 640 = 666.

9890640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 9890595 and 9890604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40920 + ... + 41160.

It is an arithmetic number, because the mean of its divisors is an integer number (225060).

Almost surely, 2^9890640 is an apocalyptic number.

9890640 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 9890640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18004800).

9890640 is an abundant number, since it is smaller than the sum of its proper divisors (26118960).

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

9890640 is a wasteful number, since it uses less digits than its factorization.

9890640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 9890640 is about 3144.9387911373. The cubic root of 9890640 is about 214.6552253117.

The spelling of 9890640 in words is "nine million, eight hundred ninety thousand, six hundred forty".