1986105264 has 320 divisors, whose sum is σ = 6451253760. Its totient is φ = 517570560.

The previous prime is 1986105211. The next prime is 1986105301. The reversal of 1986105264 is 4625016891.

1986105264 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1986105264² = 7889228239377019392, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12650274 + ... + 12650430.

It is an arithmetic number, because the mean of its divisors is an integer number (20160168).

Almost surely, 2^1986105264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1986105264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3225626880).

1986105264 is an abundant number, since it is smaller than the sum of its proper divisors (4465148496).

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

1986105264 is a wasteful number, since it uses less digits than its factorization.

1986105264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 1986105264 is about 44565.7409228210. The cubic root of 1986105264 is about 1256.9965551607.

The spelling of 1986105264 in words is "one billion, nine hundred eighty-six million, one hundred five thousand, two hundred sixty-four".