67938660 has 108 divisors (see below), whose sum is σ = 213766644. Its totient is φ = 17452800.

The previous prime is 67938659. The next prime is 67938679. The reversal of 67938660 is 6683976.

It can be written as a sum of positive squares in 6 ways, for example, as 31069476 + 36869184 = 5574^2 + 6072^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 672610 + ... + 672710.

Almost surely, 2^67938660 is an apocalyptic number.

67938660 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 67938660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106883322).

67938660 is an abundant number, since it is smaller than the sum of its proper divisors (145827984).

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

67938660 is a wasteful number, since it uses less digits than its factorization.

67938660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 67938660 is about 8242.4911282937. The cubic root of 67938660 is about 408.0427435034.

The spelling of 67938660 in words is "sixty-seven million, nine hundred thirty-eight thousand, six hundred sixty".