129649296 has 120 divisors (see below), whose sum is σ = 392980800. Its totient is φ = 36723456.

The previous prime is 129649291. The next prime is 129649297. The reversal of 129649296 is 692946921.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (129649291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 467910 + ... + 468186.

It is an arithmetic number, because the mean of its divisors is an integer number (3274840).

Almost surely, 2^129649296 is an apocalyptic number.

129649296 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 129649296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196490400).

129649296 is an abundant number, since it is smaller than the sum of its proper divisors (263331504).

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

129649296 is a wasteful number, since it uses less digits than its factorization.

129649296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 488 counting only the distinct ones).

The product of its digits is 419904, while the sum is 48.

The square root of 129649296 is about 11386.3644768644. The cubic root of 129649296 is about 506.1237544065.

The spelling of 129649296 in words is "one hundred twenty-nine million, six hundred forty-nine thousand, two hundred ninety-six".