1986216960 has 704 divisors, whose sum is σ = 8253504000. Its totient is φ = 404619264.

The previous prime is 1986216949. The next prime is 1986216961. The reversal of 1986216960 is 696126891.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1986216961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68490226 + ... + 68490254.

Almost surely, 2^1986216960 is an apocalyptic number.

1986216960 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 1986216960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4126752000).

1986216960 is an abundant number, since it is smaller than the sum of its proper divisors (6267287040).

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

1986216960 is a wasteful number, since it uses less digits than its factorization.

1986216960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The square root of 1986216960 is about 44566.9940651150. The cubic root of 1986216960 is about 1257.0201186743.

The spelling of 1986216960 in words is "one billion, nine hundred eighty-six million, two hundred sixteen thousand, nine hundred sixty".