67413456 has 180 divisors, whose sum is σ = 214181604. Its totient is φ = 19768320.

The previous prime is 67413431. The next prime is 67413473. The reversal of 67413456 is 65431476.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 43560000 + 23853456 = 6600^2 + 4884^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 67413456.

It is a congruent number.

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, 923436 + ... + 923508.

Almost surely, 2^67413456 is an apocalyptic number.

67413456 is a gapful number since it is divisible by the number (66) 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 67413456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107090802).

67413456 is an abundant number, since it is smaller than the sum of its proper divisors (146768148).

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

67413456 is a wasteful number, since it uses less digits than its factorization.

67413456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 142 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 67413456 is about 8210.5697731643. The cubic root of 67413456 is about 406.9885558019.

The spelling of 67413456 in words is "sixty-seven million, four hundred thirteen thousand, four hundred fifty-six".