13573980 has 252 divisors, whose sum is σ = 52332840. Its totient is φ = 2939328.

The previous prime is 13573951. The next prime is 13573981. The reversal of 13573980 is 8937531.

13573980 = T₂₇₉ + T₂₈₀ + ... + T₄₆₈.

13573980 is a `hidden beast` number, since 1 + 3 + 573 + 9 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13573981) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 714411 + ... + 714429.

It is an arithmetic number, because the mean of its divisors is an integer number (207670).

It is a vampire number, since it can be written as 3591 ⋅ 3780 (with its own digits).

Almost surely, 2^13573980 is an apocalyptic number.

13573980 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 13573980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26166420).

13573980 is an abundant number, since it is smaller than the sum of its proper divisors (38758860).

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

13573980 is a wasteful number, since it uses less digits than its factorization.

13573980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 13573980 is about 3684.2882623378. The cubic root of 13573980 is about 238.5443135887.

The spelling of 13573980 in words is "thirteen million, five hundred seventy-three thousand, nine hundred eighty".