66578160 has 80 divisors (see below), whose sum is σ = 225164160. Its totient is φ = 16139520.

The previous prime is 66578159. The next prime is 66578167. The reversal of 66578160 is 6187566.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66578167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9970 + ... + 15249.

It is an arithmetic number, because the mean of its divisors is an integer number (2814552).

Almost surely, 2^66578160 is an apocalyptic number.

66578160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66578160 is an abundant number, since it is smaller than the sum of its proper divisors (158586000).

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

66578160 is a wasteful number, since it uses less digits than its factorization.

66578160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25246 (or 25240 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 66578160 is about 8159.5441049117. The cubic root of 66578160 is about 405.3006150972.

The spelling of 66578160 in words is "sixty-six million, five hundred seventy-eight thousand, one hundred sixty".