1086807456 has 360 divisors, whose sum is σ = 3823696800. Its totient is φ = 301771008.

The previous prime is 1086807439. The next prime is 1086807457. The reversal of 1086807456 is 6547086801.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1086807457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5461245 + ... + 5461443.

It is an arithmetic number, because the mean of its divisors is an integer number (10621380).

Almost surely, 2^1086807456 is an apocalyptic number.

1086807456 is a gapful number since it is divisible by the number (16) 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 1086807456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911848400).

1086807456 is an abundant number, since it is smaller than the sum of its proper divisors (2736889344).

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

1086807456 is a wasteful number, since it uses less digits than its factorization.

1086807456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 1086807456 is about 32966.7628984103. The cubic root of 1086807456 is about 1028.1367186834.

The spelling of 1086807456 in words is "one billion, eighty-six million, eight hundred seven thousand, four hundred fifty-six".