85555840 has 64 divisors (see below), whose sum is σ = 210117960. Its totient is φ = 33288192.

The previous prime is 85555793. The next prime is 85555859. The reversal of 85555840 is 4855558.

It can be written as a sum of positive squares in 4 ways, for example, as 56911936 + 28643904 = 7544^2 + 5352^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 85555793 and 85555802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21874 + ... + 25486.

Almost surely, 2^85555840 is an apocalyptic number.

85555840 is a gapful number since it is divisible by the number (80) 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 85555840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105058980).

85555840 is an abundant number, since it is smaller than the sum of its proper divisors (124562120).

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

85555840 is a wasteful number, since it uses less digits than its factorization.

85555840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3669 (or 3657 counting only the distinct ones).

The product of its (nonzero) digits is 160000, while the sum is 40.

The square root of 85555840 is about 9249.6399929943. The cubic root of 85555840 is about 440.6392910879.

The spelling of 85555840 in words is "eighty-five million, five hundred fifty-five thousand, eight hundred forty".