1085082480 has 120 divisors (see below), whose sum is σ = 3779101872. Its totient is φ = 289350144.

The previous prime is 1085082437. The next prime is 1085082499. The reversal of 1085082480 is 842805801.

1085082480 is a `hidden beast` number, since 108 + 508 + 2 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8469 + ... + 47348.

Almost surely, 2^1085082480 is an apocalyptic number.

1085082480 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 1085082480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889550936).

1085082480 is an abundant number, since it is smaller than the sum of its proper divisors (2694019392).

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

1085082480 is an equidigital number, since it uses as much as digits as its factorization.

1085082480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55845 (or 55827 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 1085082480 is about 32940.5901586477. The cubic root of 1085082480 is about 1027.5924792888.

The spelling of 1085082480 in words is "one billion, eighty-five million, eighty-two thousand, four hundred eighty".