67108832 has 72 divisors (see below), whose sum is σ = 155361024. Its totient is φ = 28449792.

The previous prime is 67108819. The next prime is 67108837. The reversal of 67108832 is 23880176.

It is a nialpdrome in base 2 and base 4.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 67108792 and 67108801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67108837) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 198968 + ... + 199304.

It is an arithmetic number, because the mean of its divisors is an integer number (2157792).

Almost surely, 2^67108832 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 67108832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77680512).

67108832 is an abundant number, since it is smaller than the sum of its proper divisors (88252192).

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

67108832 is a wasteful number, since it uses less digits than its factorization.

67108832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 67108832 is about 8191.9980468748. The cubic root of 67108832 is about 406.3746047123.

The spelling of 67108832 in words is "sixty-seven million, one hundred eight thousand, eight hundred thirty-two".