129032640 has 168 divisors, whose sum is σ = 484284528. Its totient is φ = 31272960.

The previous prime is 129032639. The next prime is 129032641. The reversal of 129032640 is 46230921.

129032640 is a `hidden beast` number, since 12 + 9 + 0 + 3 + 2 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (129032639) and next prime (129032641).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129032641) 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, 29644 + ... + 33716.

It is an arithmetic number, because the mean of its divisors is an integer number (2882646).

Almost surely, 2^129032640 is an apocalyptic number.

129032640 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 129032640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242142264).

129032640 is an abundant number, since it is smaller than the sum of its proper divisors (355251888).

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

129032640 is a wasteful number, since it uses less digits than its factorization.

129032640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4107 (or 4094 counting only the distinct ones).

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

The square root of 129032640 is about 11359.2534965991. The cubic root of 129032640 is about 505.3200467743.

It can be divided in two parts, 1290 and 32640, that added together give a triangular number (33930 = T₂₆₀).

The spelling of 129032640 in words is "one hundred twenty-nine million, thirty-two thousand, six hundred forty".