67965696 has 72 divisors (see below), whose sum is σ = 201006960. Its totient is φ = 22652928.

The previous prime is 67965661. The next prime is 67965719. The reversal of 67965696 is 69656976.

67965696 is a `hidden beast` number, since 6 + 79 + 6 + 569 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1996 + ... + 11828.

Almost surely, 2^67965696 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 67965696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100503480).

67965696 is an abundant number, since it is smaller than the sum of its proper divisors (133041264).

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

67965696 is an equidigital number, since it uses as much as digits as its factorization.

67965696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9858 (or 9838 counting only the distinct ones).

The product of its digits is 3674160, while the sum is 54.

The square root of 67965696 is about 8244.1310033259. The cubic root of 67965696 is about 408.0968628152.

The spelling of 67965696 in words is "sixty-seven million, nine hundred sixty-five thousand, six hundred ninety-six".