1986416720 has 40 divisors (see below), whose sum is σ = 4696708320. Its totient is φ = 781097600.

The previous prime is 1986416699. The next prime is 1986416753. The reversal of 1986416720 is 276146891.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 205706 + ... + 215145.

It is an arithmetic number, because the mean of its divisors is an integer number (117417708).

Almost surely, 2^1986416720 is an apocalyptic number.

1986416720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1986416720 is an abundant number, since it is smaller than the sum of its proper divisors (2710291600).

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

1986416720 is a wasteful number, since it uses less digits than its factorization.

1986416720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420923 (or 420917 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 44.

The square root of 1986416720 is about 44569.2351291785. The cubic root of 1986416720 is about 1257.0622580656.

The spelling of 1986416720 in words is "one billion, nine hundred eighty-six million, four hundred sixteen thousand, seven hundred twenty".