66786048 has 216 divisors, whose sum is σ = 227668896. Its totient is φ = 18432000.

The previous prime is 66786017. The next prime is 66786061. The reversal of 66786048 is 84068766.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 66785994 and 66786012.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 661198 + ... + 661298.

Almost surely, 2^66786048 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 66786048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113834448).

66786048 is an abundant number, since it is smaller than the sum of its proper divisors (160882848).

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

66786048 is a wasteful number, since it uses less digits than its factorization.

66786048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 66786048 is about 8172.2731231892. The cubic root of 66786048 is about 405.7220225048.

The spelling of 66786048 in words is "sixty-six million, seven hundred eighty-six thousand, forty-eight".