68129460 has 144 divisors (see below), whose sum is σ = 238492800. Its totient is φ = 15420672.

The previous prime is 68129447. The next prime is 68129491. The reversal of 68129460 is 6492186.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 174946 + ... + 175334.

It is an arithmetic number, because the mean of its divisors is an integer number (1656200).

Almost surely, 2^68129460 is an apocalyptic number.

68129460 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 68129460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119246400).

68129460 is an abundant number, since it is smaller than the sum of its proper divisors (170363340).

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

68129460 is a wasteful number, since it uses less digits than its factorization.

68129460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 68129460 is about 8254.0571841974. The cubic root of 68129460 is about 408.4243710201.

68129460 divided by its sum of digits (36) gives a triangular number (1892485 = T₁₉₄₅).

The spelling of 68129460 in words is "sixty-eight million, one hundred twenty-nine thousand, four hundred sixty".