67976352 has 72 divisors (see below), whose sum is σ = 194329044. Its totient is φ = 22539264.

The previous prime is 67976347. The next prime is 67976399. The reversal of 67976352 is 25367976.

67976352 is a `hidden beast` number, since 6 + 7 + 9 + 7 + 635 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 50637456 + 17338896 = 7116^2 + 4164^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 67976298 and 67976307.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66598 + ... + 67610.

Almost surely, 2^67976352 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 67976352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97164522).

67976352 is an abundant number, since it is smaller than the sum of its proper divisors (126352692).

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

67976352 is a wasteful number, since it uses less digits than its factorization.

67976352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262 (or 1251 counting only the distinct ones).

The product of its digits is 476280, while the sum is 45.

The square root of 67976352 is about 8244.7772559360. Note that the first 3 decimals coincide. The cubic root of 67976352 is about 408.1181895196.

The spelling of 67976352 in words is "sixty-seven million, nine hundred seventy-six thousand, three hundred fifty-two".