1085620896 has 72 divisors (see below), whose sum is σ = 3119141844. Its totient is φ = 358133760.

The previous prime is 1085620883. The next prime is 1085620897. The reversal of 1085620896 is 6980265801.

1085620896 is a `hidden beast` number, since 1 + 0 + 8 + 562 + 0 + 89 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1047428496 + 38192400 = 32364^2 + 6180^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×1085620896³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1085620897) 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, 8506 + ... + 47366.

Almost surely, 2^1085620896 is an apocalyptic number.

1085620896 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 1085620896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559570922).

1085620896 is an abundant number, since it is smaller than the sum of its proper divisors (2033520948).

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

1085620896 is a wasteful number, since it uses less digits than its factorization.

1085620896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38974 (or 38963 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 1085620896 is about 32948.7616762755. The cubic root of 1085620896 is about 1027.7624143726.

The spelling of 1085620896 in words is "one billion, eighty-five million, six hundred twenty thousand, eight hundred ninety-six".