67825664 has 52 divisors (see below), whose sum is σ = 140557560. Its totient is φ = 32686080.

The previous prime is 67825627. The next prime is 67825729. The reversal of 67825664 is 46652876.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 118499 + ... + 119069.

It is an arithmetic number, because the mean of its divisors is an integer number (2703030).

Almost surely, 2^67825664 is an apocalyptic number.

67825664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67825664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70278780).

67825664 is an abundant number, since it is smaller than the sum of its proper divisors (72731896).

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

67825664 is an equidigital number, since it uses as much as digits as its factorization.

67825664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 602 counting only the distinct ones).

The product of its digits is 483840, while the sum is 44.

The square root of 67825664 is about 8235.6337946754. The cubic root of 67825664 is about 407.8163982315.

The spelling of 67825664 in words is "sixty-seven million, eight hundred twenty-five thousand, six hundred sixty-four".