67986252 has 72 divisors (see below), whose sum is σ = 183246336. Its totient is φ = 21203424.

The previous prime is 67986221. The next prime is 67986257. The reversal of 67986252 is 25268976.

It is a super-2 number, since 2×67986252² = 9244260922015008, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 67986198 and 67986207.

It is not an unprimeable number, because it can be changed into a prime (67986257) 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 23 ways as a sum of consecutive naturals, for example, 38043 + ... + 39789.

It is an arithmetic number, because the mean of its divisors is an integer number (2545088).

Almost surely, 2^67986252 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 67986252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91623168).

67986252 is an abundant number, since it is smaller than the sum of its proper divisors (115260084).

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

67986252 is a wasteful number, since it uses less digits than its factorization.

67986252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827 (or 1822 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 67986252 is about 8245.3776141545. The cubic root of 67986252 is about 408.1380011837.

The spelling of 67986252 in words is "sixty-seven million, nine hundred eighty-six thousand, two hundred fifty-two".