66029256 has 160 divisors (see below), whose sum is σ = 202118400. Its totient is φ = 20062080.

The previous prime is 66029191. The next prime is 66029261. The reversal of 66029256 is 65292066.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 66029256.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 381586 + ... + 381758.

It is an arithmetic number, because the mean of its divisors is an integer number (1263240).

Almost surely, 2^66029256 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 66029256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101059200).

66029256 is an abundant number, since it is smaller than the sum of its proper divisors (136089144).

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

66029256 is a wasteful number, since it uses less digits than its factorization.

66029256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 66029256 is about 8125.8387874730. The cubic root of 66029256 is about 404.1837056243.

The spelling of 66029256 in words is "sixty-six million, twenty-nine thousand, two hundred fifty-six".