67995936 has 120 divisors (see below), whose sum is σ = 205668540. Its totient is φ = 22021632.

The previous prime is 67995931. The next prime is 67995997. The reversal of 67995936 is 63959976.

It can be written as a sum of positive squares in 2 ways, for example, as 67963536 + 32400 = 8244^2 + 180^2 .

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

It is not an unprimeable number, because it can be changed into a prime (67995931) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 95550 + ... + 96258.

Almost surely, 2^67995936 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 67995936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102834270).

67995936 is an abundant number, since it is smaller than the sum of its proper divisors (137672604).

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

67995936 is a wasteful number, since it uses less digits than its factorization.

67995936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 751 counting only the distinct ones).

The product of its digits is 2755620, while the sum is 54.

The square root of 67995936 is about 8245.9648313584. The cubic root of 67995936 is about 408.1573787325.

The spelling of 67995936 in words is "sixty-seven million, nine hundred ninety-five thousand, nine hundred thirty-six".