67963536 has 75 divisors (see below), whose sum is σ = 197568921. Its totient is φ = 22555584.

The previous prime is 67963523. The next prime is 67963547. The reversal of 67963536 is 63536976.

The square root of 67963536 is 8244.

It is a perfect power (a square), and thus also a powerful number.

67963536 is a `hidden beast` number, since 6 + 7 + 9 + 635 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 63297936 + 4665600 = 7956^2 + 2160^2 .

It is a junction number, because it is equal to n+sod(n) for n = 67963491 and 67963500.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 296670 + ... + 296898.

Almost surely, 2^67963536 is an apocalyptic number.

67963536 is the 8244-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67963536

67963536 is an abundant number, since it is smaller than the sum of its proper divisors (129605385).

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

67963536 is an equidigital number, since it uses as much as digits as its factorization.

67963536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 234 counting only the distinct ones).

The product of its digits is 612360, while the sum is 45.

The cubic root of 67963536 is about 408.0925395629.

The spelling of 67963536 in words is "sixty-seven million, nine hundred sixty-three thousand, five hundred thirty-six".