66556128 has 96 divisors (see below), whose sum is σ = 181149696. Its totient is φ = 21385728.

The previous prime is 66556117. The next prime is 66556141. The reversal of 66556128 is 82165566.

It is a tau number, because it is divible by the number of its divisors (96).

Its product of digits (86400) is a multiple of the sum of its prime divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 524001 + ... + 524127.

It is an arithmetic number, because the mean of its divisors is an integer number (1886976).

Almost surely, 2^66556128 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 66556128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90574848).

66556128 is an abundant number, since it is smaller than the sum of its proper divisors (114593568).

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

66556128 is a wasteful number, since it uses less digits than its factorization.

66556128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 288 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 66556128 is about 8158.1939177737. The cubic root of 66556128 is about 405.2559028957.

The spelling of 66556128 in words is "sixty-six million, five hundred fifty-six thousand, one hundred twenty-eight".