1986096672 has 480 divisors, whose sum is σ = 7271244288. Its totient is φ = 518897664.

The previous prime is 1986096659. The next prime is 1986096727. The reversal of 1986096672 is 2766906891.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14496988 + ... + 14497124.

Almost surely, 2^1986096672 is an apocalyptic number.

1986096672 is a gapful number since it is divisible by the number (12) 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 1986096672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3635622144).

1986096672 is an abundant number, since it is smaller than the sum of its proper divisors (5285147616).

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

1986096672 is a wasteful number, since it uses less digits than its factorization.

1986096672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 213 counting only the distinct ones).

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

The square root of 1986096672 is about 44565.6445258004. The cubic root of 1986096672 is about 1256.9947425461.

The spelling of 1986096672 in words is "one billion, nine hundred eighty-six million, ninety-six thousand, six hundred seventy-two".