1086600960 has 288 divisors, whose sum is σ = 4026516480. Its totient is φ = 276959232.

The previous prime is 1086600953. The next prime is 1086600967. The reversal of 1086600960 is 690066801.

It is an interprime number because it is at equal distance from previous prime (1086600953) and next prime (1086600967).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1086600967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 794197 + ... + 795563.

It is an arithmetic number, because the mean of its divisors is an integer number (13980960).

Almost surely, 2^1086600960 is an apocalyptic number.

1086600960 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 1086600960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2013258240).

1086600960 is an abundant number, since it is smaller than the sum of its proper divisors (2939915520).

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

1086600960 is a wasteful number, since it uses less digits than its factorization.

1086600960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1086600960 is about 32963.6308679733. The cubic root of 1086600960 is about 1028.0715984187.

The spelling of 1086600960 in words is "one billion, eighty-six million, six hundred thousand, nine hundred sixty".