85401600 has 168 divisors, whose sum is σ = 284408880. Its totient is φ = 22609920.

The previous prime is 85401581. The next prime is 85401601. The reversal of 85401600 is 610458.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (85401601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 614331 + ... + 614469.

It is an arithmetic number, because the mean of its divisors is an integer number (1692910).

Almost surely, 2^85401600 is an apocalyptic number.

85401600 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 85401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142204440).

85401600 is an abundant number, since it is smaller than the sum of its proper divisors (199007280).

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

85401600 is a wasteful number, since it uses less digits than its factorization.

85401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 85401600 is about 9241.2986100439. The cubic root of 85401600 is about 440.3743370838.

The spelling of 85401600 in words is "eighty-five million, four hundred one thousand, six hundred".