85603840 has 160 divisors (see below), whose sum is σ = 249251904. Its totient is φ = 27525120.

The previous prime is 85603811. The next prime is 85603877. The reversal of 85603840 is 4830658.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 85603796 and 85603805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 304500 + ... + 304780.

Almost surely, 2^85603840 is an apocalyptic number.

85603840 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 85603840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124625952).

85603840 is an abundant number, since it is smaller than the sum of its proper divisors (163648064).

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

85603840 is a wasteful number, since it uses less digits than its factorization.

85603840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 85603840 is about 9252.2343247456. The cubic root of 85603840 is about 440.7216806780.

The spelling of 85603840 in words is "eighty-five million, six hundred three thousand, eight hundred forty".