1086263360 has 252 divisors, whose sum is σ = 3285434628. Its totient is φ = 339075072.

The previous prime is 1086263333. The next prime is 1086263363. The reversal of 1086263360 is 633626801.

It can be written as a sum of positive squares in 6 ways, for example, as 42198016 + 1044065344 = 6496^2 + 32312^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 1086263360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1086263363) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14880284 + ... + 14880356.

It is an arithmetic number, because the mean of its divisors is an integer number (13037439).

Almost surely, 2^1086263360 is an apocalyptic number.

1086263360 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 1086263360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642717314).

1086263360 is an abundant number, since it is smaller than the sum of its proper divisors (2199171268).

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

1086263360 is an equidigital number, since it uses as much as digits as its factorization.

1086263360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 1086263360 is about 32958.5096750445. The cubic root of 1086263360 is about 1027.9651156235.

The spelling of 1086263360 in words is "one billion, eighty-six million, two hundred sixty-three thousand, three hundred sixty".