1085478624 has 96 divisors (see below), whose sum is σ = 3185360640. Its totient is φ = 359611776.

The previous prime is 1085478623. The next prime is 1085478631. The reversal of 1085478624 is 4268745801.

1085478624 is a `hidden beast` number, since 1 + 0 + 8 + 547 + 86 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 1085478624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085478623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140527 + ... + 148049.

It is an arithmetic number, because the mean of its divisors is an integer number (33180840).

Almost surely, 2^1085478624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1085478624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592680320).

1085478624 is an abundant number, since it is smaller than the sum of its proper divisors (2099882016).

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

1085478624 is a wasteful number, since it uses less digits than its factorization.

1085478624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7709 (or 7695 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 1085478624 is about 32946.6026169619. The cubic root of 1085478624 is about 1027.7175158871.

The spelling of 1085478624 in words is "one billion, eighty-five million, four hundred seventy-eight thousand, six hundred twenty-four".