13430976 has 56 divisors (see below), whose sum is σ = 38276784. Its totient is φ = 4131840.

The previous prime is 13430959. The next prime is 13430981. The reversal of 13430976 is 67903431.

It is a super-2 number, since 2×13430976² = 360782232625152, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 195 + ... + 5186.

It is an arithmetic number, because the mean of its divisors is an integer number (683514).

Almost surely, 2^13430976 is an apocalyptic number.

13430976 is a gapful number since it is divisible by the number (16) 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 13430976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19138392).

13430976 is an abundant number, since it is smaller than the sum of its proper divisors (24845808).

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

13430976 is a wasteful number, since it uses less digits than its factorization.

13430976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5409 (or 5399 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 13430976 is about 3664.8296004044. The cubic root of 13430976 is about 237.7036539430.

The spelling of 13430976 in words is "thirteen million, four hundred thirty thousand, nine hundred seventy-six".