85814640 has 400 divisors, whose sum is σ = 340290720. Its totient is φ = 19906560.

The previous prime is 85814593. The next prime is 85814669. The reversal of 85814640 is 4641858.

85814640 is a `hidden beast` number, since 8 + 5 + 8 + 1 + 4 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 85814595 and 85814604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2093020 + ... + 2093060.

Almost surely, 2^85814640 is an apocalyptic number.

85814640 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 85814640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170145360).

85814640 is an abundant number, since it is smaller than the sum of its proper divisors (254476080).

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

85814640 is a wasteful number, since it uses less digits than its factorization.

85814640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 85814640 is about 9263.6191631565. The cubic root of 85814640 is about 441.0831441179.

The spelling of 85814640 in words is "eighty-five million, eight hundred fourteen thousand, six hundred forty".