13480776 has 64 divisors (see below), whose sum is σ = 37800000. Its totient is φ = 4451328.

The previous prime is 13480771. The next prime is 13480781. The reversal of 13480776 is 67708431.

13480776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13480771) and next prime (13480781).

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

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 13480776.

It is not an unprimeable number, because it can be changed into a prime (13480771) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29800 + ... + 30248.

It is an arithmetic number, because the mean of its divisors is an integer number (590625).

Almost surely, 2^13480776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13480776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18900000).

13480776 is an abundant number, since it is smaller than the sum of its proper divisors (24319224).

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

13480776 is a wasteful number, since it uses less digits than its factorization.

13480776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 13480776 is about 3671.6176271502. The cubic root of 13480776 is about 237.9970811496.

The spelling of 13480776 in words is "thirteen million, four hundred eighty thousand, seven hundred seventy-six".