1086712200 has 540 divisors, whose sum is σ = 4512396735. Its totient is φ = 241678080.

The previous prime is 1086712189. The next prime is 1086712217. The reversal of 1086712200 is 22176801.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 861892164 + 224820036 = 29358^2 + 14994^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=23310.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 29370582 + ... + 29370618.

Almost surely, 2^1086712200 is an apocalyptic number.

1086712200 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 1086712200

1086712200 is an abundant number, since it is smaller than the sum of its proper divisors (3425684535).

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

1086712200 is a wasteful number, since it uses less digits than its factorization.

1086712200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1086712200 is about 32965.3181389168. The cubic root of 1086712200 is about 1028.1066799210.

The spelling of 1086712200 in words is "one billion, eighty-six million, seven hundred twelve thousand, two hundred".