67125248 has 60 divisors (see below), whose sum is σ = 142733052. Its totient is φ = 31457280.

The previous prime is 67125239. The next prime is 67125263. The reversal of 67125248 is 84252176.

It is a Cunningham number, because it is equal to 8193²-1.

It can be written as a sum of positive squares in 2 ways, for example, as 51380224 + 15745024 = 7168^2 + 3968^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 278408 + ... + 278648.

Almost surely, 2^67125248 is an apocalyptic number.

67125248 is a gapful number since it is divisible by the number (68) 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 67125248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71366526).

67125248 is an abundant number, since it is smaller than the sum of its proper divisors (75607804).

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

67125248 is an equidigital number, since it uses as much as digits as its factorization.

67125248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 260 counting only the distinct ones).

The product of its digits is 26880, while the sum is 35.

The square root of 67125248 is about 8192.9999389723. Note that the first 4 decimals coincide. The cubic root of 67125248 is about 406.4077374682.

The spelling of 67125248 in words is "sixty-seven million, one hundred twenty-five thousand, two hundred forty-eight".