85004640 has 240 divisors, whose sum is σ = 343217952. Its totient is φ = 19408896.

The previous prime is 85004629. The next prime is 85004653. The reversal of 85004640 is 4640058.

It is a tau number, because it is divible by the number of its divisors (240).

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 39 ways as a sum of consecutive naturals, for example, 90252 + ... + 91188.

Almost surely, 2^85004640 is an apocalyptic number.

85004640 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 85004640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171608976).

85004640 is an abundant number, since it is smaller than the sum of its proper divisors (258213312).

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

85004640 is a wasteful number, since it uses less digits than its factorization.

85004640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 85004640 is about 9219.7960931899. The cubic root of 85004640 is about 439.6909675760.

Adding to 85004640 its reverse (4640058), we get a palindrome (89644698).

The spelling of 85004640 in words is "eighty-five million, four thousand, six hundred forty".