1085918400 has 882 divisors, whose sum is σ = 4905580740. Its totient is φ = 235146240.

The previous prime is 1085918303. The next prime is 1085918411. The reversal of 1085918400 is 48195801.

It is a tau number, because it is divible by the number of its divisors (882).

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

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 57153591 + ... + 57153609.

Almost surely, 2^1085918400 is an apocalyptic number.

1085918400 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 1085918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2452790370).

1085918400 is an abundant number, since it is smaller than the sum of its proper divisors (3819662340).

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

1085918400 is an equidigital number, since it uses as much as digits as its factorization.

1085918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 1085918400 is about 32953.2760131675. The cubic root of 1085918400 is about 1027.8562886106.

The spelling of 1085918400 in words is "one billion, eighty-five million, nine hundred eighteen thousand, four hundred".