66867456 has 72 divisors (see below), whose sum is σ = 180280800. Its totient is φ = 21999616.

The previous prime is 66867413. The next prime is 66867457. The reversal of 66867456 is 65476866.

It is a super-3 number, since 3×66867456³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (66867457) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 63220 + ... + 64268.

It is an arithmetic number, because the mean of its divisors is an integer number (2503900).

Almost surely, 2^66867456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66867456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90140400).

66867456 is an abundant number, since it is smaller than the sum of its proper divisors (113413344).

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

66867456 is a wasteful number, since it uses less digits than its factorization.

66867456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1137 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The square root of 66867456 is about 8177.2523502702. The cubic root of 66867456 is about 405.8868054616.

The spelling of 66867456 in words is "sixty-six million, eight hundred sixty-seven thousand, four hundred fifty-six".