1086114960 has 320 divisors, whose sum is σ = 4424716800. Its totient is φ = 239597568.

The previous prime is 1086114937. The next prime is 1086114979. The reversal of 1086114960 is 694116801.

It is a happy number.

1086114960 is a `hidden beast` number, since 108 + 61 + 1 + 496 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 437242 + ... + 439718.

It is an arithmetic number, because the mean of its divisors is an integer number (13827240).

Almost surely, 2^1086114960 is an apocalyptic number.

1086114960 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 1086114960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2212358400).

1086114960 is an abundant number, since it is smaller than the sum of its proper divisors (3338601840).

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

1086114960 is a wasteful number, since it uses less digits than its factorization.

1086114960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2535 (or 2523 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1086114960 is about 32956.2582827602. The cubic root of 1086114960 is about 1027.9183016321.

The spelling of 1086114960 in words is "one billion, eighty-six million, one hundred fourteen thousand, nine hundred sixty".