66556080 has 100 divisors (see below), whose sum is σ = 231181632. Its totient is φ = 17746560.

The previous prime is 66556067. The next prime is 66556099. The reversal of 66556080 is 8065566.

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 an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1345 + ... + 11615.

Almost surely, 2^66556080 is an apocalyptic number.

66556080 is a gapful number since it is divisible by the number (60) 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 66556080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115590816).

66556080 is an abundant number, since it is smaller than the sum of its proper divisors (164625552).

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

66556080 is a wasteful number, since it uses less digits than its factorization.

66556080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10296 (or 10281 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 66556080 is about 8158.1909759456. The cubic root of 66556080 is about 405.2558054727.

The spelling of 66556080 in words is "sixty-six million, five hundred fifty-six thousand, eighty".