1085001600 has 96 divisors (see below), whose sum is σ = 3573755640. Its totient is φ = 289331200.

The previous prime is 1085001583. The next prime is 1085001601. The reversal of 1085001600 is 61005801.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085001601) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 46911 + ... + 66110.

Almost surely, 2^1085001600 is an apocalyptic number.

1085001600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1085001600 is an abundant number, since it is smaller than the sum of its proper divisors (2488754040).

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

1085001600 is a wasteful number, since it uses less digits than its factorization.

1085001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113048 (or 113031 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 1085001600 is about 32939.3624710619. The cubic root of 1085001600 is about 1027.5669470531.

It can be divided in two parts, 1085001 and 600, that added together give a triangular number (1085601 = T₁₄₇₃).

The spelling of 1085001600 in words is "one billion, eighty-five million, one thousand, six hundred".