10830240 has 192 divisors, whose sum is σ = 39916800. Its totient is φ = 2737152.

The previous prime is 10830229. The next prime is 10830251. The reversal of 10830240 is 4203801.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10830229) and next prime (10830251).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 99306 + ... + 99414.

It is an arithmetic number, because the mean of its divisors is an integer number (207900).

Almost surely, 2^10830240 is an apocalyptic number.

10830240 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 10830240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19958400).

10830240 is an abundant number, since it is smaller than the sum of its proper divisors (29086560).

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

10830240 is a wasteful number, since it uses less digits than its factorization.

10830240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10830240 is about 3290.9329984064. The cubic root of 10830240 is about 221.2480034293.

The spelling of 10830240 in words is "ten million, eight hundred thirty thousand, two hundred forty".