67641336 has 96 divisors (see below), whose sum is σ = 211560960. Its totient is φ = 19123776.

The previous prime is 67641331. The next prime is 67641337. The reversal of 67641336 is 63314676.

It is a happy number.

67641336 is a `hidden beast` number, since 6 + 7 + 641 + 3 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 67641336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67641331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51261 + ... + 52563.

It is an arithmetic number, because the mean of its divisors is an integer number (2203760).

Almost surely, 2^67641336 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 67641336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105780480).

67641336 is an abundant number, since it is smaller than the sum of its proper divisors (143919624).

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

67641336 is a wasteful number, since it uses less digits than its factorization.

67641336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425 (or 1418 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 67641336 is about 8224.4352997637. The cubic root of 67641336 is about 407.4466258020.

It can be divided in two parts, 6764 and 1336, that added together give a square (8100 = 90²).

The spelling of 67641336 in words is "sixty-seven million, six hundred forty-one thousand, three hundred thirty-six".