9851940 has 108 divisors (see below), whose sum is σ = 34794396. Its totient is φ = 2249856.

The previous prime is 9851929. The next prime is 9851951. The reversal of 9851940 is 491589.

It is an interprime number because it is at equal distance from previous prime (9851929) and next prime (9851951).

It can be written as a sum of positive squares in 2 ways, for example, as 1695204 + 8156736 = 1302^2 + 2856^2 .

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 = 9851895 and 9851904.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8262 + ... + 9378.

Almost surely, 2^9851940 is an apocalyptic number.

9851940 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 9851940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17397198).

9851940 is an abundant number, since it is smaller than the sum of its proper divisors (24942456).

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

9851940 is a wasteful number, since it uses less digits than its factorization.

9851940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 9851940 is about 3138.7800177776. The cubic root of 9851940 is about 214.3748924059.

The spelling of 9851940 in words is "nine million, eight hundred fifty-one thousand, nine hundred forty".