1986435360 has 768 divisors, whose sum is σ = 8887173120. Its totient is φ = 403107840.

The previous prime is 1986435349. The next prime is 1986435413. The reversal of 1986435360 is 635346891.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12186639 + ... + 12186801.

It is an arithmetic number, because the mean of its divisors is an integer number (11571840).

Almost surely, 2^1986435360 is an apocalyptic number.

1986435360 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 1986435360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4443586560).

1986435360 is an abundant number, since it is smaller than the sum of its proper divisors (6900737760).

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

1986435360 is a wasteful number, since it uses less digits than its factorization.

1986435360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 1986435360 is about 44569.4442415429. Note that the first 3 decimals coincide. The cubic root of 1986435360 is about 1257.0661900313.

The spelling of 1986435360 in words is "one billion, nine hundred eighty-six million, four hundred thirty-five thousand, three hundred sixty".