1966287960 has 768 divisors, whose sum is σ = 8643456000. Its totient is φ = 393030144.

The previous prime is 1966287931. The next prime is 1966287989. The reversal of 1966287960 is 697826691.

1966287960 is a `hidden beast` number, since 1 + 9 + 6 + 628 + 7 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1966287931) and next prime (1966287989).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1966287897 and 1966287906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 103488831 + ... + 103488849.

It is an arithmetic number, because the mean of its divisors is an integer number (11254500).

Almost surely, 2^1966287960 is an apocalyptic number.

1966287960 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 1966287960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4321728000).

1966287960 is an abundant number, since it is smaller than the sum of its proper divisors (6677168040).

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

1966287960 is a wasteful number, since it uses less digits than its factorization.

1966287960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 1966287960 is about 44342.8456461693. The cubic root of 1966287960 is about 1252.8018133149.

The spelling of 1966287960 in words is "one billion, nine hundred sixty-six million, two hundred eighty-seven thousand, nine hundred sixty".