85983456 has 48 divisors (see below), whose sum is σ = 243072144. Its totient is φ = 26456064.

The previous prime is 85983431. The next prime is 85983481. The reversal of 85983456 is 65438958.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (85983431) and next prime (85983481).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33201 + ... + 35696.

It is an arithmetic number, because the mean of its divisors is an integer number (5064003).

Almost surely, 2^85983456 is an apocalyptic number.

It is an amenable number.

85983456 is an abundant number, since it is smaller than the sum of its proper divisors (157088688).

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

85983456 is a wasteful number, since it uses less digits than its factorization.

85983456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68923 (or 68915 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 48.

The square root of 85983456 is about 9272.7264598930. The cubic root of 85983456 is about 441.3721900499.

The spelling of 85983456 in words is "eighty-five million, nine hundred eighty-three thousand, four hundred fifty-six".