1085537376 has 576 divisors, whose sum is σ = 4182796800. Its totient is φ = 274337280.

The previous prime is 1085537357. The next prime is 1085537377. The reversal of 1085537376 is 6737355801.

1085537376 is a `hidden beast` number, since 1 + 0 + 85 + 537 + 37 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085537377) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29338830 + ... + 29338866.

It is an arithmetic number, because the mean of its divisors is an integer number (7261800).

Almost surely, 2^1085537376 is an apocalyptic number.

1085537376 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 1085537376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2091398400).

1085537376 is an abundant number, since it is smaller than the sum of its proper divisors (3097259424).

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

1085537376 is an equidigital number, since it uses as much as digits as its factorization.

1085537376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 1085537376 is about 32947.4942294554. The cubic root of 1085537376 is about 1027.7360574376.

The spelling of 1085537376 in words is "one billion, eighty-five million, five hundred thirty-seven thousand, three hundred seventy-six".