67228920 has 128 divisors (see below), whose sum is σ = 244512000. Its totient is φ = 16295040.

The previous prime is 67228919. The next prime is 67228927. The reversal of 67228920 is 2982276.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67228927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9051 + ... + 14709.

It is an arithmetic number, because the mean of its divisors is an integer number (1910250).

Almost surely, 2^67228920 is an apocalyptic number.

67228920 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 67228920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122256000).

67228920 is an abundant number, since it is smaller than the sum of its proper divisors (177283080).

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

67228920 is a wasteful number, since it uses less digits than its factorization.

67228920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5690 (or 5680 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 67228920 is about 8199.3243624094. The cubic root of 67228920 is about 406.6168561525.

It can be divided in two parts, 672 and 28920, that added together give a palindrome (29592).

The spelling of 67228920 in words is "sixty-seven million, two hundred twenty-eight thousand, nine hundred twenty".