10817940 has 96 divisors (see below), whose sum is σ = 35481600. Its totient is φ = 2411136.

The previous prime is 10817927. The next prime is 10817941. The reversal of 10817940 is 4971801.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10817898 and 10817907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10817941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17761 + ... + 18359.

It is an arithmetic number, because the mean of its divisors is an integer number (369600).

Almost surely, 2^10817940 is an apocalyptic number.

10817940 is a gapful number since it is divisible by the number (10) 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 10817940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17740800).

10817940 is an abundant number, since it is smaller than the sum of its proper divisors (24663660).

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

10817940 is a wasteful number, since it uses less digits than its factorization.

10817940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 10817940 is about 3289.0636965556. The cubic root of 10817940 is about 221.1642139253.

The spelling of 10817940 in words is "ten million, eight hundred seventeen thousand, nine hundred forty".