85366440 has 64 divisors (see below), whose sum is σ = 284558400. Its totient is φ = 22764096.

The previous prime is 85366427. The next prime is 85366471. The reversal of 85366440 is 4466358.

85366440 is a `hidden beast` number, since 8 + 5 + 3 + 6 + 644 + 0 = 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 = 85366395 and 85366404.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38442 + ... + 40601.

It is an arithmetic number, because the mean of its divisors is an integer number (4446225).

Almost surely, 2^85366440 is an apocalyptic number.

It is an amenable number.

85366440 is an abundant number, since it is smaller than the sum of its proper divisors (199191960).

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

85366440 is a wasteful number, since it uses less digits than its factorization.

85366440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79063 (or 79053 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 85366440 is about 9239.3960841605. The cubic root of 85366440 is about 440.3138944728.

The spelling of 85366440 in words is "eighty-five million, three hundred sixty-six thousand, four hundred forty".