1085061540 has 96 divisors (see below), whose sum is σ = 3076980480. Its totient is φ = 285682176.

The previous prime is 1085061511. The next prime is 1085061553. The reversal of 1085061540 is 451605801.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1085061498 and 1085061507.

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 31 ways as a sum of consecutive naturals, for example, 2156929 + ... + 2157431.

It is an arithmetic number, because the mean of its divisors is an integer number (32051880).

Almost surely, 2^1085061540 is an apocalyptic number.

1085061540 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 1085061540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538490240).

1085061540 is an abundant number, since it is smaller than the sum of its proper divisors (1991918940).

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

1085061540 is a wasteful number, since it uses less digits than its factorization.

1085061540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 1085061540 is about 32940.2723121713. The cubic root of 1085061540 is about 1027.5858690617.

It can be divided in two parts, 1085061 and 540, that added together give a triangular number (1085601 = T₁₄₇₃).

The spelling of 1085061540 in words is "one billion, eighty-five million, sixty-one thousand, five hundred forty".