1966786560 has 144 divisors (see below), whose sum is σ = 6816848220. Its totient is φ = 524451840.

The previous prime is 1966786543. The next prime is 1966786567. The reversal of 1966786560 is 656876691.

1966786560 is a `hidden beast` number, since 1 + 9 + 6 + 6 + 78 + 6 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1808630784 + 158155776 = 42528^2 + 12576^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 1966786497 and 1966786506.

It is not an unprimeable number, because it can be changed into a prime (1966786567) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81490 + ... + 102830.

Almost surely, 2^1966786560 is an apocalyptic number.

1966786560 is a gapful number since it is divisible by the number (10) 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 1966786560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3408424110).

1966786560 is an abundant number, since it is smaller than the sum of its proper divisors (4850061660).

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

1966786560 is a wasteful number, since it uses less digits than its factorization.

1966786560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21374 (or 21351 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 1966786560 is about 44348.4673917825. The cubic root of 1966786560 is about 1252.9076971267.

The spelling of 1966786560 in words is "one billion, nine hundred sixty-six million, seven hundred eighty-six thousand, five hundred sixty".