13261980 has 48 divisors (see below), whose sum is σ = 37699200. Its totient is φ = 3482688.

The previous prime is 13261907. The next prime is 13261999. The reversal of 13261980 is 8916231.

13261980 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13261980² = 351760227040800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2371 + ... + 5669.

It is an arithmetic number, because the mean of its divisors is an integer number (785400).

Almost surely, 2^13261980 is an apocalyptic number.

13261980 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 13261980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18849600).

13261980 is an abundant number, since it is smaller than the sum of its proper divisors (24437220).

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

13261980 is a wasteful number, since it uses less digits than its factorization.

13261980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3378 (or 3376 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 13261980 is about 3641.7001524013. The cubic root of 13261980 is about 236.7024698418.

It can be divided in two parts, 13261 and 980, that added together give a palindrome (14241).

The spelling of 13261980 in words is "thirteen million, two hundred sixty-one thousand, nine hundred eighty".