67461828 has 72 divisors (see below), whose sum is σ = 189068544. Its totient is φ = 18648000.

The previous prime is 67461827. The next prime is 67461847. The reversal of 67461828 is 82816476.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 67461828.

It is not an unprimeable number, because it can be changed into a prime (67461827) 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, 16378 + ... + 20078.

It is an arithmetic number, because the mean of its divisors is an integer number (2625952).

Almost surely, 2^67461828 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 67461828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94534272).

67461828 is an abundant number, since it is smaller than the sum of its proper divisors (121606716).

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

67461828 is a wasteful number, since it uses less digits than its factorization.

67461828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3753 (or 3744 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 67461828 is about 8213.5149601130. The cubic root of 67461828 is about 407.0858763506.

The spelling of 67461828 in words is "sixty-seven million, four hundred sixty-one thousand, eight hundred twenty-eight".