67278240 has 144 divisors (see below), whose sum is σ = 241768800. Its totient is φ = 16989696.

The previous prime is 67278227. The next prime is 67278271. The reversal of 67278240 is 4287276.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 67278195 and 67278204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26131 + ... + 28589.

It is an arithmetic number, because the mean of its divisors is an integer number (1678950).

Almost surely, 2^67278240 is an apocalyptic number.

67278240 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 67278240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120884400).

67278240 is an abundant number, since it is smaller than the sum of its proper divisors (174490560).

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

67278240 is a wasteful number, since it uses less digits than its factorization.

67278240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2499 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 67278240 is about 8202.3313758955. The cubic root of 67278240 is about 406.7162649650.

The spelling of 67278240 in words is "sixty-seven million, two hundred seventy-eight thousand, two hundred forty".