1085153040 has 120 divisors (see below), whose sum is σ = 3658134168. Its totient is φ = 288276480.

The previous prime is 1085153021. The next prime is 1085153077. The reversal of 1085153040 is 403515801.

1085153040 is a `hidden beast` number, since 10 + 85 + 1 + 530 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 72386064 + 1012766976 = 8508^2 + 31824^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1085152995 and 1085153013.

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, 196720 + ... + 202160.

Almost surely, 2^1085153040 is an apocalyptic number.

1085153040 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 1085153040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829067084).

1085153040 is an abundant number, since it is smaller than the sum of its proper divisors (2572981128).

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

1085153040 is a wasteful number, since it uses less digits than its factorization.

1085153040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5737 (or 5728 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1085153040 is about 32941.6611602997. The cubic root of 1085153040 is about 1027.6147526659.

Adding to 1085153040 its reverse (403515801), we get a palindrome (1488668841).

The spelling of 1085153040 in words is "one billion, eighty-five million, one hundred fifty-three thousand, forty".