9746820 has 72 divisors (see below), whose sum is σ = 29831256. Its totient is φ = 2575872.

The previous prime is 9746801. The next prime is 9746827. The reversal of 9746820 is 286479.

It can be written as a sum of positive squares in 4 ways, for example, as 419904 + 9326916 = 648^2 + 3054^2 .

It is a super-2 number, since 2×9746820² = 190001000224800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9746827) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30984 + ... + 31296.

It is an arithmetic number, because the mean of its divisors is an integer number (414323).

Almost surely, 2^9746820 is an apocalyptic number.

9746820 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 9746820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14915628).

9746820 is an abundant number, since it is smaller than the sum of its proper divisors (20084436).

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

9746820 is a wasteful number, since it uses less digits than its factorization.

9746820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 9746820 is about 3121.9897501433. The cubic root of 9746820 is about 213.6097058250.

The spelling of 9746820 in words is "nine million, seven hundred forty-six thousand, eight hundred twenty".