1085397120 has 96 divisors (see below), whose sum is σ = 3748031820. Its totient is φ = 289437696.

The previous prime is 1085397101. The next prime is 1085397121. The reversal of 1085397120 is 217935801.

1085397120 is a `hidden beast` number, since 108 + 539 + 7 + 12 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 989983296 + 95413824 = 31464^2 + 9768^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1085397121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88459 + ... + 99978.

Almost surely, 2^1085397120 is an apocalyptic number.

1085397120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1085397120 is an abundant number, since it is smaller than the sum of its proper divisors (2662634700).

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

1085397120 is a wasteful number, since it uses less digits than its factorization.

1085397120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188462 (or 188447 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 1085397120 is about 32945.3656832035. The cubic root of 1085397120 is about 1027.6917929224.

The spelling of 1085397120 in words is "one billion, eighty-five million, three hundred ninety-seven thousand, one hundred twenty".