85263600 has 120 divisors (see below), whose sum is σ = 279950832. Its totient is φ = 22169600.

The previous prime is 85263589. The next prime is 85263617. The reversal of 85263600 is 636258.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 48334 + ... + 50066.

Almost surely, 2^85263600 is an apocalyptic number.

85263600 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 85263600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139975416).

85263600 is an abundant number, since it is smaller than the sum of its proper divisors (194687232).

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

85263600 is a wasteful number, since it uses less digits than its factorization.

85263600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1795 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 85263600 is about 9233.8291082302. The cubic root of 85263600 is about 440.1370096743.

Adding to 85263600 its reverse (636258), we get a palindrome (85899858).

The spelling of 85263600 in words is "eighty-five million, two hundred sixty-three thousand, six hundred".