13832820 has 144 divisors (see below), whose sum is σ = 45147648. Its totient is φ = 3421440.

The previous prime is 13832809. The next prime is 13832831. The reversal of 13832820 is 2823831.

13832820 is a `hidden beast` number, since 1 + 383 + 282 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13832809) and next prime (13832831).

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 47 ways as a sum of consecutive naturals, for example, 206427 + ... + 206493.

Almost surely, 2^13832820 is an apocalyptic number.

13832820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13832820 is the 1860-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13832820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22573824).

13832820 is an abundant number, since it is smaller than the sum of its proper divisors (31314828).

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

13832820 is a wasteful number, since it uses less digits than its factorization.

13832820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 13832820 is about 3719.2499243799. The cubic root of 13832820 is about 240.0510308153.

The spelling of 13832820 in words is "thirteen million, eight hundred thirty-two thousand, eight hundred twenty".