1986961680 has 480 divisors, whose sum is σ = 7750753920. Its totient is φ = 451584000.

The previous prime is 1986961667. The next prime is 1986961729. The reversal of 1986961680 is 861696891.

1986961680 is a `hidden beast` number, since 19 + 8 + 6 + 9 + 616 + 8 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9416775 + ... + 9416985.

It is an arithmetic number, because the mean of its divisors is an integer number (16147404).

Almost surely, 2^1986961680 is an apocalyptic number.

1986961680 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 1986961680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3875376960).

1986961680 is an abundant number, since it is smaller than the sum of its proper divisors (5763792240).

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

1986961680 is a wasteful number, since it uses less digits than its factorization.

1986961680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The square root of 1986961680 is about 44575.3483441240. The cubic root of 1986961680 is about 1257.1772030660.

The spelling of 1986961680 in words is "one billion, nine hundred eighty-six million, nine hundred sixty-one thousand, six hundred eighty".