1085540064 has 192 divisors, whose sum is σ = 3435747840. Its totient is φ = 293529600.

The previous prime is 1085540063. The next prime is 1085540101. The reversal of 1085540064 is 4600455801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085540063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1032339 + ... + 1033389.

It is an arithmetic number, because the mean of its divisors is an integer number (17894520).

Almost surely, 2^1085540064 is an apocalyptic number.

1085540064 is a gapful number since it is divisible by the number (14) 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 1085540064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717873920).

1085540064 is an abundant number, since it is smaller than the sum of its proper divisors (2350207776).

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

1085540064 is a wasteful number, since it uses less digits than its factorization.

1085540064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 1085540064 is about 32947.5350216067. The cubic root of 1085540064 is about 1027.7369057278.

Adding to 1085540064 its reverse (4600455801), we get a palindrome (5685995865).

The spelling of 1085540064 in words is "one billion, eighty-five million, five hundred forty thousand, sixty-four".