1085031936 has 360 divisors, whose sum is σ = 3624243480. Its totient is φ = 322486272.

The previous prime is 1085031929. The next prime is 1085031967. The reversal of 1085031936 is 6391305801.

It is a happy number.

1085031936 is a `hidden beast` number, since 108 + 503 + 19 + 36 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1085031936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 57106935 + ... + 57106953.

It is an arithmetic number, because the mean of its divisors is an integer number (10067343).

Almost surely, 2^1085031936 is an apocalyptic number.

1085031936 is a gapful number since it is divisible by the number (16) 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 1085031936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812121740).

1085031936 is an abundant number, since it is smaller than the sum of its proper divisors (2539211544).

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

1085031936 is an frugal number, since it uses more digits than its factorization.

1085031936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1085031936 is about 32939.8229503439. The cubic root of 1085031936 is about 1027.5765236843.

The spelling of 1085031936 in words is "one billion, eighty-five million, thirty-one thousand, nine hundred thirty-six".