85503600 has 600 divisors, whose sum is σ = 390704160. Its totient is φ = 17418240.

The previous prime is 85503547. The next prime is 85503617. The reversal of 85503600 is 630558.

85503600 is a `hidden beast` number, since 8 + 5 + 50 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×85503600² = 14621731225920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2948386 + ... + 2948414.

Almost surely, 2^85503600 is an apocalyptic number.

85503600 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 85503600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195352080).

85503600 is an abundant number, since it is smaller than the sum of its proper divisors (305200560).

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

85503600 is a wasteful number, since it uses less digits than its factorization.

85503600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 85503600 is about 9246.8156681098. The cubic root of 85503600 is about 440.5495887241.

The spelling of 85503600 in words is "eighty-five million, five hundred three thousand, six hundred".