11626420 has 48 divisors (see below), whose sum is σ = 26622288. Its totient is φ = 4239360.

The previous prime is 11626409. The next prime is 11626421. The reversal of 11626420 is 2462611.

It can be written as a sum of positive squares in 8 ways, for example, as 1628176 + 9998244 = 1276^2 + 3162^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11626391 and 11626400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11626421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24990 + ... + 25450.

It is an arithmetic number, because the mean of its divisors is an integer number (554631).

Almost surely, 2^11626420 is an apocalyptic number.

11626420 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 11626420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13311144).

11626420 is an abundant number, since it is smaller than the sum of its proper divisors (14995868).

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

11626420 is a wasteful number, since it uses less digits than its factorization.

11626420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 11626420 is about 3409.7536567911. The cubic root of 11626420 is about 226.5419681275.

The spelling of 11626420 in words is "eleven million, six hundred twenty-six thousand, four hundred twenty".