66678144 has 192 divisors, whose sum is σ = 206745840. Its totient is φ = 18911232.

The previous prime is 66678137. The next prime is 66678149. The reversal of 66678144 is 44187666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 66678096 and 66678105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66678149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1802094 + ... + 1802130.

Almost surely, 2^66678144 is an apocalyptic number.

66678144 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 66678144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103372920).

66678144 is an abundant number, since it is smaller than the sum of its proper divisors (140067696).

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

66678144 is a wasteful number, since it uses less digits than its factorization.

66678144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 74 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 66678144 is about 8165.6686192865. The cubic root of 66678144 is about 405.5034008562.

The spelling of 66678144 in words is "sixty-six million, six hundred seventy-eight thousand, one hundred forty-four".