67961088 has 108 divisors (see below), whose sum is σ = 211114540. Its totient is φ = 20901888.

The previous prime is 67961071. The next prime is 67961111. The reversal of 67961088 is 88016976.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5992704 + 61968384 = 2448^2 + 7872^2 .

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28818 + ... + 31086.

Almost surely, 2^67961088 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 67961088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105557270).

67961088 is an abundant number, since it is smaller than the sum of its proper divisors (143153452).

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

67961088 is a wasteful number, since it uses less digits than its factorization.

67961088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2304 (or 2287 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 67961088 is about 8243.8515270473. The cubic root of 67961088 is about 408.0876397662.

The spelling of 67961088 in words is "sixty-seven million, nine hundred sixty-one thousand, eighty-eight".