13577220 has 180 divisors, whose sum is σ = 46805220. Its totient is φ = 3290112.

The previous prime is 13577209. The next prime is 13577231. The reversal of 13577220 is 2277531.

It is an interprime number because it is at equal distance from previous prime (13577209) and next prime (13577231).

It can be written as a sum of positive squares in 6 ways, for example, as 746496 + 12830724 = 864^2 + 3582^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 468166 + ... + 468194.

It is an arithmetic number, because the mean of its divisors is an integer number (260029).

Almost surely, 2^13577220 is an apocalyptic number.

13577220 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 13577220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23402610).

13577220 is an abundant number, since it is smaller than the sum of its proper divisors (33228000).

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

13577220 is a wasteful number, since it uses less digits than its factorization.

13577220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 13577220 is about 3684.7279411104. The cubic root of 13577220 is about 238.5632916160.

The spelling of 13577220 in words is "thirteen million, five hundred seventy-seven thousand, two hundred twenty".