85449840 has 160 divisors (see below), whose sum is σ = 318789120. Its totient is φ = 18496512.

The previous prime is 85449829. The next prime is 85449841. The reversal of 85449840 is 4894458.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 85449792 and 85449801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85449841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30582 + ... + 33258.

It is an arithmetic number, because the mean of its divisors is an integer number (1992432).

Almost surely, 2^85449840 is an apocalyptic number.

85449840 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 85449840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159394560).

85449840 is an abundant number, since it is smaller than the sum of its proper divisors (233339280).

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

85449840 is a wasteful number, since it uses less digits than its factorization.

85449840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2719 (or 2713 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 85449840 is about 9243.9082643652. The cubic root of 85449840 is about 440.4572381823.

The spelling of 85449840 in words is "eighty-five million, four hundred forty-nine thousand, eight hundred forty".