85650000 has 120 divisors (see below), whose sum is σ = 277044768. Its totient is φ = 22800000.

The previous prime is 85649987. The next prime is 85650001. The reversal of 85650000 is 5658.

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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85650001) 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, 149715 + ... + 150285.

Almost surely, 2^85650000 is an apocalyptic number.

85650000 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 85650000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138522384).

85650000 is an abundant number, since it is smaller than the sum of its proper divisors (191394768).

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

85650000 is an equidigital number, since it uses as much as digits as its factorization.

85650000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 581 counting only the distinct ones).

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

The square root of 85650000 is about 9254.7285211399. The cubic root of 85650000 is about 440.8008829554.

Adding to 85650000 its reverse (5658), we get a palindrome (85655658).

The spelling of 85650000 in words is "eighty-five million, six hundred fifty thousand".