67649536 has 30 divisors (see below), whose sum is σ = 135327710. Its totient is φ = 33816576.

The previous prime is 67649521. The next prime is 67649537. The reversal of 67649536 is 63594676.

It can be written as a sum of positive squares in only one way, i.e., 58982400 + 8667136 = 7680^2 + 2944^2 .

It is not an unprimeable number, because it can be changed into a prime (67649537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14320 + ... + 18448.

Almost surely, 2^67649536 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 67649536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67663855).

67649536 is an abundant number, since it is smaller than the sum of its proper divisors (67678174).

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

67649536 is an frugal number, since it uses more digits than its factorization.

67649536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4157 (or 4131 counting only the distinct ones).

The product of its digits is 816480, while the sum is 46.

The square root of 67649536 is about 8224.9337991257. The cubic root of 67649536 is about 407.4630897353.

The spelling of 67649536 in words is "sixty-seven million, six hundred forty-nine thousand, five hundred thirty-six".