67413840 has 320 divisors, whose sum is σ = 251983872. Its totient is φ = 14745600.

The previous prime is 67413833. The next prime is 67413877. The reversal of 67413840 is 4831476.

It is a super-3 number, since 3×67413840³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1644220 + ... + 1644260.

Almost surely, 2^67413840 is an apocalyptic number.

67413840 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 67413840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125991936).

67413840 is an abundant number, since it is smaller than the sum of its proper divisors (184570032).

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

67413840 is a wasteful number, since it uses less digits than its factorization.

67413840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 67413840 is about 8210.5931576227. The cubic root of 67413840 is about 406.9893285621.

The spelling of 67413840 in words is "sixty-seven million, four hundred thirteen thousand, eight hundred forty".