11657820 has 48 divisors (see below), whose sum is σ = 32796288. Its totient is φ = 3094080.

The previous prime is 11657809. The next prime is 11657839. The reversal of 11657820 is 2875611.

11657820 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19567 + ... + 20153.

It is an arithmetic number, because the mean of its divisors is an integer number (683256).

Almost surely, 2^11657820 is an apocalyptic number.

11657820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11657820 is an abundant number, since it is smaller than the sum of its proper divisors (21138468).

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

11657820 is a wasteful number, since it uses less digits than its factorization.

11657820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 11657820 is about 3414.3549903313. The cubic root of 11657820 is about 226.7457288594.

The spelling of 11657820 in words is "eleven million, six hundred fifty-seven thousand, eight hundred twenty".