1085247072 has 480 divisors, whose sum is σ = 4057143552. Its totient is φ = 276950016.

The previous prime is 1085247067. The next prime is 1085247083. The reversal of 1085247072 is 2707425801.

It is a super-2 number, since 2×1085247072² = 2355522414569146368, which contains 22 as substring.

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

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10142443 + ... + 10142549.

Almost surely, 2^1085247072 is an apocalyptic number.

1085247072 is a gapful number since it is divisible by the number (12) 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 1085247072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2028571776).

1085247072 is an abundant number, since it is smaller than the sum of its proper divisors (2971896480).

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

1085247072 is a wasteful number, since it uses less digits than its factorization.

1085247072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 1085247072 is about 32943.0883798104. The cubic root of 1085247072 is about 1027.6444338494.

It can be divided in two parts, 108 and 5247072, that added together give a triangular number (5247180 = T₃₂₃₉).

The spelling of 1085247072 in words is "one billion, eighty-five million, two hundred forty-seven thousand, seventy-two".