85815450 has 144 divisors (see below), whose sum is σ = 273524160. Its totient is φ = 19595520.

The previous prime is 85815449. The next prime is 85815451. The reversal of 85815450 is 5451858.

It is an interprime number because it is at equal distance from previous prime (85815449) and next prime (85815451).

It is not an unprimeable number, because it can be changed into a prime (85815451) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 84546 + ... + 85554.

Almost surely, 2^85815450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85815450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136762080).

85815450 is an abundant number, since it is smaller than the sum of its proper divisors (187708710).

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

85815450 is a wasteful number, since it uses less digits than its factorization.

85815450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The square root of 85815450 is about 9263.6628824672. The cubic root of 85815450 is about 441.0845319007.

The spelling of 85815450 in words is "eighty-five million, eight hundred fifteen thousand, four hundred fifty".