1086580480 has 72 divisors (see below), whose sum is σ = 2673159552. Its totient is φ = 422866944.

The previous prime is 1086580471. The next prime is 1086580487. The reversal of 1086580480 is 840856801.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1086580487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35889 + ... + 58831.

It is an arithmetic number, because the mean of its divisors is an integer number (37127216).

Almost surely, 2^1086580480 is an apocalyptic number.

1086580480 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 1086580480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336579776).

1086580480 is an abundant number, since it is smaller than the sum of its proper divisors (1586579072).

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

1086580480 is an equidigital number, since it uses as much as digits as its factorization.

1086580480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23001 (or 22987 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 40.

The square root of 1086580480 is about 32963.3202211185. The cubic root of 1086580480 is about 1028.0651394274.

The spelling of 1086580480 in words is "one billion, eighty-six million, five hundred eighty thousand, four hundred eighty".