1086966540 has 240 divisors, whose sum is σ = 3751491744. Its totient is φ = 261273600.

The previous prime is 1086966533. The next prime is 1086966541. The reversal of 1086966540 is 456696801.

1086966540 is a `hidden beast` number, since 10 + 8 + 6 + 96 + 6 + 540 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1086966541) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3225252 + ... + 3225588.

Almost surely, 2^1086966540 is an apocalyptic number.

1086966540 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 1086966540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1875745872).

1086966540 is an abundant number, since it is smaller than the sum of its proper divisors (2664525204).

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

1086966540 is a wasteful number, since it uses less digits than its factorization.

1086966540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 1086966540 is about 32969.1756038879. The cubic root of 1086966540 is about 1028.1868815468.

The spelling of 1086966540 in words is "one billion, eighty-six million, nine hundred sixty-six thousand, five hundred forty".