13480830 has 160 divisors (see below), whose sum is σ = 42340320. Its totient is φ = 3041280.

The previous prime is 13480807. The next prime is 13480843. The reversal of 13480830 is 3808431.

13480830 = 1640² + 1641² + ... + 1644².

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

It is a junction number, because it is equal to n+sod(n) for n = 13480794 and 13480803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 151426 + ... + 151514.

It is an arithmetic number, because the mean of its divisors is an integer number (264627).

Almost surely, 2^13480830 is an apocalyptic number.

13480830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13480830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21170160).

13480830 is an abundant number, since it is smaller than the sum of its proper divisors (28859490).

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

13480830 is a wasteful number, since it uses less digits than its factorization.

13480830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 13480830 is about 3671.6249808498. The cubic root of 13480830 is about 237.9973989312.

The spelling of 13480830 in words is "thirteen million, four hundred eighty thousand, eight hundred thirty".