66287424 has 224 divisors, whose sum is σ = 217440256. Its totient is φ = 17418240.

The previous prime is 66287341. The next prime is 66287489. The reversal of 66287424 is 42478266.

It is a tau number, because it is divible by the number of its divisors (224).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1541547 + ... + 1541589.

Almost surely, 2^66287424 is an apocalyptic number.

66287424 is a gapful number since it is divisible by the number (64) 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 66287424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108720128).

66287424 is an abundant number, since it is smaller than the sum of its proper divisors (151152832).

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

66287424 is a wasteful number, since it uses less digits than its factorization.

66287424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 123 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The square root of 66287424 is about 8141.7089115247. The cubic root of 66287424 is about 404.7097936239.

The spelling of 66287424 in words is "sixty-six million, two hundred eighty-seven thousand, four hundred twenty-four".