85560000 has 280 divisors, whose sum is σ = 304702464. Its totient is φ = 21120000.

The previous prime is 85559987. The next prime is 85560001. The reversal of 85560000 is 6558.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85560001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2759985 + ... + 2760015.

Almost surely, 2^85560000 is an apocalyptic number.

85560000 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 85560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152351232).

85560000 is an abundant number, since it is smaller than the sum of its proper divisors (219142464).

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

85560000 is a wasteful number, since it uses less digits than its factorization.

85560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 85560000 is about 9249.8648638777. The cubic root of 85560000 is about 440.6464327385.

Adding to 85560000 its reverse (6558), we get a palindrome (85566558).

The spelling of 85560000 in words is "eighty-five million, five hundred sixty thousand".