1986364000 has 96 divisors (see below), whose sum is σ = 4913135136. Its totient is φ = 789235200.

The previous prime is 1986363983. The next prime is 1986364001. The reversal of 1986364000 is 4636891.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1986364001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 626419 + ... + 629581.

It is an arithmetic number, because the mean of its divisors is an integer number (51178491).

Almost surely, 2^1986364000 is an apocalyptic number.

1986364000 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 1986364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2456567568).

1986364000 is an abundant number, since it is smaller than the sum of its proper divisors (2926771136).

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

1986364000 is a wasteful number, since it uses less digits than its factorization.

1986364000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3345 (or 3327 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 1986364000 is about 44568.6436858920. The cubic root of 1986364000 is about 1257.0511370510.

The spelling of 1986364000 in words is "one billion, nine hundred eighty-six million, three hundred sixty-four thousand".