85839840 has 72 divisors (see below), whose sum is σ = 292933368. Its totient is φ = 22890240.

The previous prime is 85839829. The next prime is 85839863. The reversal of 85839840 is 4893858.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28366 + ... + 31245.

It is an arithmetic number, because the mean of its divisors is an integer number (4068519).

Almost surely, 2^85839840 is an apocalyptic number.

85839840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85839840 is an abundant number, since it is smaller than the sum of its proper divisors (207093528).

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

85839840 is a wasteful number, since it uses less digits than its factorization.

85839840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59632 (or 59621 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 85839840 is about 9264.9792228585. The cubic root of 85839840 is about 441.1263154905.

The spelling of 85839840 in words is "eighty-five million, eight hundred thirty-nine thousand, eight hundred forty".