129630240 has 192 divisors, whose sum is σ = 466542720. Its totient is φ = 33592320.

The previous prime is 129630211. The next prime is 129630269. The reversal of 129630240 is 42036921.

129630240 is a `hidden beast` number, since 1 + 2 + 9 + 630 + 24 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (129630211) and next prime (129630269).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159435 + ... + 160245.

It is an arithmetic number, because the mean of its divisors is an integer number (2429910).

Almost surely, 2^129630240 is an apocalyptic number.

129630240 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 129630240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233271360).

129630240 is an abundant number, since it is smaller than the sum of its proper divisors (336912480).

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

129630240 is a wasteful number, since it uses less digits than its factorization.

129630240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 129630240 is about 11385.5276557567. The cubic root of 129630240 is about 506.0989563111.

The spelling of 129630240 in words is "one hundred twenty-nine million, six hundred thirty thousand, two hundred forty".