85894800 has 120 divisors (see below), whose sum is σ = 284148480. Its totient is φ = 22156800.

The previous prime is 85894789. The next prime is 85894819. The reversal of 85894800 is 849858.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36046 + ... + 38354.

It is an arithmetic number, because the mean of its divisors is an integer number (2367904).

Almost surely, 2^85894800 is an apocalyptic number.

85894800 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 85894800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142074240).

85894800 is an abundant number, since it is smaller than the sum of its proper divisors (198253680).

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

85894800 is a wasteful number, since it uses less digits than its factorization.

85894800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2361 (or 2350 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The square root of 85894800 is about 9267.9447559855. The cubic root of 85894800 is about 441.2204408986.

The spelling of 85894800 in words is "eighty-five million, eight hundred ninety-four thousand, eight hundred".