66283776 has 108 divisors (see below), whose sum is σ = 205906428. Its totient is φ = 20385792.

The previous prime is 66283733. The next prime is 66283783. The reversal of 66283776 is 67738266.

It can be written as a sum of positive squares in 2 ways, for example, as 43243776 + 23040000 = 6576^2 + 4800^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28846 + ... + 31058.

It is an arithmetic number, because the mean of its divisors is an integer number (1906541).

Almost surely, 2^66283776 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 66283776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102953214).

66283776 is an abundant number, since it is smaller than the sum of its proper divisors (139622652).

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

66283776 is a wasteful number, since it uses less digits than its factorization.

66283776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2248 (or 2231 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 66283776 is about 8141.4848768514. The cubic root of 66283776 is about 404.7023693478.

It can be divided in two parts, 6628 and 3776, that added together give a square (10404 = 102²).

The spelling of 66283776 in words is "sixty-six million, two hundred eighty-three thousand, seven hundred seventy-six".