10830456 has 256 divisors, whose sum is σ = 40320000. Its totient is φ = 2612736.

The previous prime is 10830409. The next prime is 10830461. The reversal of 10830456 is 65403801.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 373450 + ... + 373478.

It is an arithmetic number, because the mean of its divisors is an integer number (157500).

Almost surely, 2^10830456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10830456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20160000).

10830456 is an abundant number, since it is smaller than the sum of its proper divisors (29489544).

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

10830456 is a wasteful number, since it uses less digits than its factorization.

10830456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 10830456 is about 3290.9658156839. The cubic root of 10830456 is about 221.2494742877.

The spelling of 10830456 in words is "ten million, eight hundred thirty thousand, four hundred fifty-six".