85504800 has 144 divisors (see below), whose sum is σ = 290606400. Its totient is φ = 21795840.

The previous prime is 85504799. The next prime is 85504801. The reversal of 85504800 is 840558.

It is an interprime number because it is at equal distance from previous prime (85504799) and next prime (85504801).

It is a super-2 number, since 2×85504800² = 14622141646080000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (85504801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54426 + ... + 55974.

It is an arithmetic number, because the mean of its divisors is an integer number (2018100).

Almost surely, 2^85504800 is an apocalyptic number.

85504800 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 85504800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145303200).

85504800 is an abundant number, since it is smaller than the sum of its proper divisors (205101600).

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

85504800 is a wasteful number, since it uses less digits than its factorization.

85504800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 85504800 is about 9246.8805550845. The cubic root of 85504800 is about 440.5516496784.

The spelling of 85504800 in words is "eighty-five million, five hundred four thousand, eight hundred".