1085325696 has 768 divisors, whose sum is σ = 4395384000. Its totient is φ = 260112384.

The previous prime is 1085325671. The next prime is 1085325701. The reversal of 1085325696 is 6965235801.

1085325696 = 106³ + 107³ + ... + 258³.

1085325696 is a `hidden beast` number, since 1 + 0 + 85 + 3 + 2 + 569 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37425010 + ... + 37425038.

Almost surely, 2^1085325696 is an apocalyptic number.

1085325696 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 1085325696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2197692000).

1085325696 is an abundant number, since it is smaller than the sum of its proper divisors (3310058304).

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

1085325696 is a wasteful number, since it uses less digits than its factorization.

1085325696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 1085325696 is about 32944.2816889365. The cubic root of 1085325696 is about 1027.6692501844.

The spelling of 1085325696 in words is "one billion, eighty-five million, three hundred twenty-five thousand, six hundred ninety-six".