10830540 has 96 divisors (see below), whose sum is σ = 35126784. Its totient is φ = 2442240.

The previous prime is 10830527. The next prime is 10830607. The reversal of 10830540 is 4503801.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 9.

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, 44820 + ... + 45060.

It is an arithmetic number, because the mean of its divisors is an integer number (365904).

Almost surely, 2^10830540 is an apocalyptic number.

10830540 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 10830540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17563392).

10830540 is an abundant number, since it is smaller than the sum of its proper divisors (24296244).

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

10830540 is a wasteful number, since it uses less digits than its factorization.

10830540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 10830540 is about 3290.9785778701. The cubic root of 10830540 is about 221.2500462830.

It can be divided in two parts, 108305 and 40, that added together give a triangular number (108345 = T₄₆₅).

The spelling of 10830540 in words is "ten million, eight hundred thirty thousand, five hundred forty".