129696336 has 240 divisors, whose sum is σ = 473273280. Its totient is φ = 33626880.

The previous prime is 129696311. The next prime is 129696361. The reversal of 129696336 is 633696921.

It is a happy number.

129696336 is a `hidden beast` number, since 1 + 2 + 9 + 6 + 9 + 633 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (129696311) and next prime (129696361).

It is a super-2 number, since 2×129696336² = 33642279143649792, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 129696291 and 129696300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 232570 + ... + 233126.

It is an arithmetic number, because the mean of its divisors is an integer number (1971972).

Almost surely, 2^129696336 is an apocalyptic number.

129696336 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 129696336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236636640).

129696336 is an abundant number, since it is smaller than the sum of its proper divisors (343576944).

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

129696336 is a wasteful number, since it uses less digits than its factorization.

129696336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 580 counting only the distinct ones).

The product of its digits is 314928, while the sum is 45.

The square root of 129696336 is about 11388.4299181230. The cubic root of 129696336 is about 506.1849584478.

The spelling of 129696336 in words is "one hundred twenty-nine million, six hundred ninety-six thousand, three hundred thirty-six".