1086631200 has 360 divisors, whose sum is σ = 4069309860. Its totient is φ = 282009600.

The previous prime is 1086631193. The next prime is 1086631213. The reversal of 1086631200 is 21366801.

1086631200 is a `hidden beast` number, since 1 + 0 + 8 + 6 + 631 + 20 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 351787536 + 734843664 = 18756^2 + 27108^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 59 ways as a sum of consecutive naturals, for example, 2656596 + ... + 2657004.

Almost surely, 2^1086631200 is an apocalyptic number.

1086631200 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 1086631200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2034654930).

1086631200 is an abundant number, since it is smaller than the sum of its proper divisors (2982678660).

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

1086631200 is a wasteful number, since it uses less digits than its factorization.

1086631200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1086631200 is about 32964.0895521172. The cubic root of 1086631200 is about 1028.0811353748.

The spelling of 1086631200 in words is "one billion, eighty-six million, six hundred thirty-one thousand, two hundred".