13029660 has 144 divisors (see below), whose sum is σ = 46964736. Its totient is φ = 2970432.

The previous prime is 13029637. The next prime is 13029683. The reversal of 13029660 is 6692031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13029637) and next prime (13029683).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33829 + ... + 34211.

It is an arithmetic number, because the mean of its divisors is an integer number (326144).

Almost surely, 2^13029660 is an apocalyptic number.

13029660 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 13029660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23482368).

13029660 is an abundant number, since it is smaller than the sum of its proper divisors (33935076).

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

13029660 is a wasteful number, since it uses less digits than its factorization.

13029660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 13029660 is about 3609.6620340414. The cubic root of 13029660 is about 235.3121549653.

It can be divided in two parts, 13029 and 660, that added together give a square (13689 = 117²).

The spelling of 13029660 in words is "thirteen million, twenty-nine thousand, six hundred sixty".