1085168640 has 352 divisors, whose sum is σ = 3735300096. Its totient is φ = 268369920.

The previous prime is 1085168627. The next prime is 1085168653. The reversal of 1085168640 is 468615801.

It is an interprime number because it is at equal distance from previous prime (1085168627) and next prime (1085168653).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20474854 + ... + 20474906.

It is an arithmetic number, because the mean of its divisors is an integer number (10611648).

Almost surely, 2^1085168640 is an apocalyptic number.

1085168640 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 1085168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867650048).

1085168640 is an abundant number, since it is smaller than the sum of its proper divisors (2650131456).

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

1085168640 is a wasteful number, since it uses less digits than its factorization.

1085168640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 1085168640 is about 32941.8979416791. The cubic root of 1085168640 is about 1027.6196769216.

The spelling of 1085168640 in words is "one billion, eighty-five million, one hundred sixty-eight thousand, six hundred forty".