67727640 has 128 divisors (see below), whose sum is σ = 216483840. Its totient is φ = 16912896.

The previous prime is 67727633. The next prime is 67727651. The reversal of 67727640 is 4672776.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146049 + ... + 146511.

It is an arithmetic number, because the mean of its divisors is an integer number (1691280).

Almost surely, 2^67727640 is an apocalyptic number.

67727640 is a gapful number since it is divisible by the number (60) 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 67727640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108241920).

67727640 is an abundant number, since it is smaller than the sum of its proper divisors (148756200).

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

67727640 is a wasteful number, since it uses less digits than its factorization.

67727640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 39.

The square root of 67727640 is about 8229.6804312197. The cubic root of 67727640 is about 407.6198400465.

The spelling of 67727640 in words is "sixty-seven million, seven hundred twenty-seven thousand, six hundred forty".