1082586960 has 720 divisors, whose sum is σ = 4757695488. Its totient is φ = 215654400.

The previous prime is 1082586949. The next prime is 1082586961. The reversal of 1082586960 is 696852801.

1082586960 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 586 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1082586961) 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 143 ways as a sum of consecutive naturals, for example, 26404540 + ... + 26404580.

Almost surely, 2^1082586960 is an apocalyptic number.

1082586960 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 1082586960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2378847744).

1082586960 is an abundant number, since it is smaller than the sum of its proper divisors (3675108528).

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

1082586960 is a wasteful number, since it uses less digits than its factorization.

1082586960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 1082586960 is about 32902.6892517922. The cubic root of 1082586960 is about 1026.8041072722.

The spelling of 1082586960 in words is "one billion, eighty-two million, five hundred eighty-six thousand, nine hundred sixty".