13620576 has 48 divisors (see below), whose sum is σ = 36442224. Its totient is φ = 4452864.

The previous prime is 13620571. The next prime is 13620583. The reversal of 13620576 is 67502631.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13620571) 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 7 ways as a sum of consecutive naturals, for example, 3750 + ... + 6426.

It is an arithmetic number, because the mean of its divisors is an integer number (759213).

Almost surely, 2^13620576 is an apocalyptic number.

13620576 is a gapful number since it is divisible by the number (16) 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 13620576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18221112).

13620576 is an abundant number, since it is smaller than the sum of its proper divisors (22821648).

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

13620576 is a wasteful number, since it uses less digits than its factorization.

13620576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2743 (or 2735 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 13620576 is about 3690.6064542294. The cubic root of 13620576 is about 238.8169557191.

It can be divided in two parts, 13620 and 576, that added together give a triangular number (14196 = T₁₆₈).

The spelling of 13620576 in words is "thirteen million, six hundred twenty thousand, five hundred seventy-six".