66206976 has 144 divisors (see below), whose sum is σ = 203974848. Its totient is φ = 18841600.

The previous prime is 66206969. The next prime is 66206981. The reversal of 66206976 is 67960266.

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, 143386 + ... + 143846.

It is an arithmetic number, because the mean of its divisors is an integer number (1416492).

Almost surely, 2^66206976 is an apocalyptic number.

66206976 is a gapful number since it is divisible by the number (66) 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 66206976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101987424).

66206976 is an abundant number, since it is smaller than the sum of its proper divisors (137767872).

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

66206976 is a wasteful number, since it uses less digits than its factorization.

66206976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 66206976 is about 8136.7669255055. The cubic root of 66206976 is about 404.5460055250.

It can be divided in two parts, 66 and 206976, that multiplied together give a square (13660416 = 3696²).

The spelling of 66206976 in words is "sixty-six million, two hundred six thousand, nine hundred seventy-six".