67966976 has 96 divisors (see below), whose sum is σ = 169827840. Its totient is φ = 26419200.

The previous prime is 67966967. The next prime is 67966999.

It is a happy number.

67966976 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157481 + ... + 157911.

It is an arithmetic number, because the mean of its divisors is an integer number (1769040).

Almost surely, 2^67966976 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 67966976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84913920).

67966976 is an abundant number, since it is smaller than the sum of its proper divisors (101860864).

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

67966976 is a wasteful number, since it uses less digits than its factorization.

67966976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 451 counting only the distinct ones).

The product of its digits is 5143824, while the sum is 56.

The square root of 67966976 is about 8244.2086339442. The cubic root of 67966976 is about 408.0994246993.

The spelling of 67966976 in words is "sixty-seven million, nine hundred sixty-six thousand, nine hundred seventy-six".