13730976 has 144 divisors (see below), whose sum is σ = 45864000. Its totient is φ = 3894912.

The previous prime is 13730971. The next prime is 13730987. The reversal of 13730976 is 67903731.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a zygodrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 13730976.

It is not an unprimeable number, because it can be changed into a prime (13730971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98715 + ... + 98853.

It is an arithmetic number, because the mean of its divisors is an integer number (318500).

Almost surely, 2^13730976 is an apocalyptic number.

13730976 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 13730976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22932000).

13730976 is an abundant number, since it is smaller than the sum of its proper divisors (32133024).

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

13730976 is a wasteful number, since it uses less digits than its factorization.

13730976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 36.

The square root of 13730976 is about 3705.5331600189. The cubic root of 13730976 is about 239.4604546205.

It can be divided in two parts, 13730 and 976, that added together give a triangular number (14706 = T₁₇₁).

The spelling of 13730976 in words is "thirteen million, seven hundred thirty thousand, nine hundred seventy-six".