85831440 has 80 divisors (see below), whose sum is σ = 272298048. Its totient is φ = 22353408.

The previous prime is 85831439. The next prime is 85831451. The reversal of 85831440 is 4413858.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6162 + ... + 14478.

Almost surely, 2^85831440 is an apocalyptic number.

85831440 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 85831440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136149024).

85831440 is an abundant number, since it is smaller than the sum of its proper divisors (186466608).

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

85831440 is a wasteful number, since it uses less digits than its factorization.

85831440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8376 (or 8370 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 85831440 is about 9264.5258918090. The cubic root of 85831440 is about 441.1119259719. Note that the first 3 decimals are identical.

The spelling of 85831440 in words is "eighty-five million, eight hundred thirty-one thousand, four hundred forty".