85566240 has 192 divisors, whose sum is σ = 310262400. Its totient is φ = 21998592.

The previous prime is 85566223. The next prime is 85566251. The reversal of 85566240 is 4266558.

85566240 is a `hidden beast` number, since 8 + 556 + 62 + 40 = 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 = 85566195 and 85566204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124939 + ... + 125621.

It is an arithmetic number, because the mean of its divisors is an integer number (1615950).

Almost surely, 2^85566240 is an apocalyptic number.

85566240 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 85566240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155131200).

85566240 is an abundant number, since it is smaller than the sum of its proper divisors (224696160).

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

85566240 is a wasteful number, since it uses less digits than its factorization.

85566240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 85566240 is about 9250.2021599530. The cubic root of 85566240 is about 440.6571447803.

The spelling of 85566240 in words is "eighty-five million, five hundred sixty-six thousand, two hundred forty".