67129140 has 96 divisors (see below), whose sum is σ = 204906240. Its totient is φ = 16321536.

The previous prime is 67129123. The next prime is 67129159. The reversal of 67129140 is 4192176.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 67129098 and 67129107.

It is a congruent number.

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, 68937 + ... + 69903.

It is an arithmetic number, because the mean of its divisors is an integer number (2134440).

Almost surely, 2^67129140 is an apocalyptic number.

67129140 is a gapful number since it is divisible by the number (60) 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 67129140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102453120).

67129140 is an abundant number, since it is smaller than the sum of its proper divisors (137777100).

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

67129140 is a wasteful number, since it uses less digits than its factorization.

67129140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 67129140 is about 8193.2374553652. The cubic root of 67129140 is about 406.4155919809.

The spelling of 67129140 in words is "sixty-seven million, one hundred twenty-nine thousand, one hundred forty".