11725830 has 64 divisors (see below), whose sum is σ = 31596480. Its totient is φ = 3094272.

The previous prime is 11725823. The next prime is 11725841. The reversal of 11725830 is 3852711.

11725830 is a `hidden beast` number, since 11 + 72 + 583 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11725794 and 11725803.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36832 + ... + 37148.

It is an arithmetic number, because the mean of its divisors is an integer number (493695).

Almost surely, 2^11725830 is an apocalyptic number.

11725830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11725830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15798240).

11725830 is an abundant number, since it is smaller than the sum of its proper divisors (19870650).

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

11725830 is a wasteful number, since it uses less digits than its factorization.

11725830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 11725830 is about 3424.2999284525. The cubic root of 11725830 is about 227.1858078775.

The spelling of 11725830 in words is "eleven million, seven hundred twenty-five thousand, eight hundred thirty".