1085191536 has 320 divisors, whose sum is σ = 3554772480. Its totient is φ = 280350720.

The previous prime is 1085191519. The next prime is 1085191573. The reversal of 1085191536 is 6351915801.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 1085191494 and 1085191503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6911970 + ... + 6912126.

It is an arithmetic number, because the mean of its divisors is an integer number (11108664).

Almost surely, 2^1085191536 is an apocalyptic number.

1085191536 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 1085191536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1777386240).

1085191536 is an abundant number, since it is smaller than the sum of its proper divisors (2469580944).

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

1085191536 is a wasteful number, since it uses less digits than its factorization.

1085191536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 39.

The square root of 1085191536 is about 32942.2454608061. The cubic root of 1085191536 is about 1027.6269041285.

The spelling of 1085191536 in words is "one billion, eighty-five million, one hundred ninety-one thousand, five hundred thirty-six".