67738880 has 144 divisors (see below), whose sum is σ = 188080704. Its totient is φ = 23101440.

The previous prime is 67738859. The next prime is 67738901. The reversal of 67738880 is 8883776.

It is an interprime number because it is at equal distance from previous prime (67738859) and next prime (67738901).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239219 + ... + 239501.

It is an arithmetic number, because the mean of its divisors is an integer number (1306116).

Almost surely, 2^67738880 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 67738880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94040352).

67738880 is an abundant number, since it is smaller than the sum of its proper divisors (120341824).

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

67738880 is a wasteful number, since it uses less digits than its factorization.

67738880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 47.

The square root of 67738880 is about 8230.3632969633. The cubic root of 67738880 is about 407.6423881700.

The spelling of 67738880 in words is "sixty-seven million, seven hundred thirty-eight thousand, eight hundred eighty".