67579920 has 100 divisors (see below), whose sum is σ = 234737580. Its totient is φ = 18019584.

The previous prime is 67579909. The next prime is 67579921. The reversal of 67579920 is 2997576.

It can be written as a sum of positive squares in 2 ways, for example, as 51322896 + 16257024 = 7164^2 + 4032^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (67579921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1266 + ... + 11694.

Almost surely, 2^67579920 is an apocalyptic number.

67579920 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 67579920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117368790).

67579920 is an abundant number, since it is smaller than the sum of its proper divisors (167157660).

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

67579920 is a wasteful number, since it uses less digits than its factorization.

67579920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10454 (or 10439 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 67579920 is about 8220.7007000620. The cubic root of 67579920 is about 407.3232726334.

The spelling of 67579920 in words is "sixty-seven million, five hundred seventy-nine thousand, nine hundred twenty".