13577620 has 48 divisors (see below), whose sum is σ = 32796288. Its totient is φ = 4625280.

The previous prime is 13577591. The next prime is 13577621. The reversal of 13577620 is 2677531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13577621) 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, 40855 + ... + 41185.

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

Almost surely, 2^13577620 is an apocalyptic number.

13577620 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 13577620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16398144).

13577620 is an abundant number, since it is smaller than the sum of its proper divisors (19218668).

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

13577620 is a wasteful number, since it uses less digits than its factorization.

13577620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 31.

The square root of 13577620 is about 3684.7822188021. The cubic root of 13577620 is about 238.5656343730.

The spelling of 13577620 in words is "thirteen million, five hundred seventy-seven thousand, six hundred twenty".