67426128 has 160 divisors (see below), whose sum is σ = 241413120. Its totient is φ = 17504640.

The previous prime is 67426109. The next prime is 67426141. The reversal of 67426128 is 82162476.

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

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 = 67426092 and 67426101.

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, 32251 + ... + 34277.

It is an arithmetic number, because the mean of its divisors is an integer number (1508832).

Almost surely, 2^67426128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67426128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120706560).

67426128 is an abundant number, since it is smaller than the sum of its proper divisors (173986992).

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

67426128 is a wasteful number, since it uses less digits than its factorization.

67426128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2062 (or 2050 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 67426128 is about 8211.3414251266. The cubic root of 67426128 is about 407.0140553395.

The spelling of 67426128 in words is "sixty-seven million, four hundred twenty-six thousand, one hundred twenty-eight".