1966206528 has 448 divisors, whose sum is σ = 6947001600. Its totient is φ = 537477120.

The previous prime is 1966206521. The next prime is 1966206551. The reversal of 1966206528 is 8256026691.

1966206528 is a `hidden beast` number, since 19 + 6 + 620 + 6 + 5 + 2 + 8 = 666.

It is a super-2 number, since 2×1966206528² = 7731936221499629568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1966206521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18038538 + ... + 18038646.

It is an arithmetic number, because the mean of its divisors is an integer number (15506700).

Almost surely, 2^1966206528 is an apocalyptic number.

1966206528 is a gapful number since it is divisible by the number (18) 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 1966206528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3473500800).

1966206528 is an abundant number, since it is smaller than the sum of its proper divisors (4980795072).

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

1966206528 is a wasteful number, since it uses less digits than its factorization.

1966206528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 1966206528 is about 44341.9274276615. The cubic root of 1966206528 is about 1252.7845185327.

The spelling of 1966206528 in words is "one billion, nine hundred sixty-six million, two hundred six thousand, five hundred twenty-eight".