9826920 has 112 divisors (see below), whose sum is σ = 33249060. Its totient is φ = 2612736.

The previous prime is 9826913. The next prime is 9826937. The reversal of 9826920 is 296289.

9826920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9474084 + 352836 = 3078^2 + 594^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 28992 + ... + 29328.

Almost surely, 2^9826920 is an apocalyptic number.

9826920 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 9826920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16624530).

9826920 is an abundant number, since it is smaller than the sum of its proper divisors (23422140).

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

9826920 is a wasteful number, since it uses less digits than its factorization.

9826920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 347 counting only the distinct ones).

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

The square root of 9826920 is about 3134.7918591192. The cubic root of 9826920 is about 214.1932629757.

It can be divided in two parts, 98269 and 20, that added together give a palindrome (98289).

The spelling of 9826920 in words is "nine million, eight hundred twenty-six thousand, nine hundred twenty".