1085400 has 120 divisors (see below), whose sum is σ = 3826020. Its totient is φ = 285120.

The previous prime is 1085389. The next prime is 1085407. The reversal of 1085400 is 45801.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085407) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 16167 + ... + 16233.

2^1085400 is an apocalyptic number.

1085400 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 1085400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1913010).

1085400 is an abundant number, since it is smaller than the sum of its proper divisors (2740620).

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

1085400 is a wasteful number, since it uses less digits than its factorization.

1085400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1085400 is about 1041.8253212511. The cubic root of 1085400 is about 102.7692701883.

It can be divided in two parts, 1085 and 400, that added together give a triangular number (1485 = T₅₄).

The spelling of 1085400 in words is "one million, eighty-five thousand, four hundred".