85408456 has 32 divisors (see below), whose sum is σ = 185604480. Its totient is φ = 36086400.

The previous prime is 85408429. The next prime is 85408457. The reversal of 85408456 is 65480458.

It is not an unprimeable number, because it can be changed into a prime (85408457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6765 + ... + 14716.

It is an arithmetic number, because the mean of its divisors is an integer number (5800140).

Almost surely, 2^85408456 is an apocalyptic number.

It is an amenable number.

85408456 is an abundant number, since it is smaller than the sum of its proper divisors (100196024).

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

85408456 is a wasteful number, since it uses less digits than its factorization.

85408456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21565 (or 21561 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 40.

The square root of 85408456 is about 9241.6695461372. The cubic root of 85408456 is about 440.3861211162.

The spelling of 85408456 in words is "eighty-five million, four hundred eight thousand, four hundred fifty-six".