1085379200 has 96 divisors (see below), whose sum is σ = 2797990560. Its totient is φ = 415247360.

The previous prime is 1085379193. The next prime is 1085379203. The reversal of 1085379200 is 29735801.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1085379203) 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, 66227 + ... + 80973.

It is an arithmetic number, because the mean of its divisors is an integer number (29145735).

Almost surely, 2^1085379200 is an apocalyptic number.

1085379200 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 1085379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398995280).

1085379200 is an abundant number, since it is smaller than the sum of its proper divisors (1712611360).

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

1085379200 is a wasteful number, since it uses less digits than its factorization.

1085379200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14794 (or 14777 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 1085379200 is about 32945.0937166674. The cubic root of 1085379200 is about 1027.6861371313.

The spelling of 1085379200 in words is "one billion, eighty-five million, three hundred seventy-nine thousand, two hundred".