85918800 has 240 divisors, whose sum is σ = 314408448. Its totient is φ = 19852800.

The previous prime is 85918787. The next prime is 85918801. The reversal of 85918800 is 881958.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85918801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 303459 + ... + 303741.

Almost surely, 2^85918800 is an apocalyptic number.

85918800 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 85918800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157204224).

85918800 is an abundant number, since it is smaller than the sum of its proper divisors (228489648).

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

85918800 is a wasteful number, since it uses less digits than its factorization.

85918800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 39.

The square root of 85918800 is about 9269.2394510014. The cubic root of 85918800 is about 441.2615311022.

It can be divided in two parts, 8591 and 8800, that added together give a triangular number (17391 = T₁₈₆).

The spelling of 85918800 in words is "eighty-five million, nine hundred eighteen thousand, eight hundred".