67362240 has 112 divisors (see below), whose sum is σ = 233354880. Its totient is φ = 16327680.

The previous prime is 67362181. The next prime is 67362259. The reversal of 67362240 is 4226376.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 67362198 and 67362207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7371 + ... + 13749.

Almost surely, 2^67362240 is an apocalyptic number.

67362240 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 67362240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116677440).

67362240 is an abundant number, since it is smaller than the sum of its proper divisors (165992640).

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

67362240 is a wasteful number, since it uses less digits than its factorization.

67362240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6410 (or 6400 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 67362240 is about 8207.4502739889. The cubic root of 67362240 is about 406.8854626015.

The spelling of 67362240 in words is "sixty-seven million, three hundred sixty-two thousand, two hundred forty".