85887456 has 48 divisors (see below), whose sum is σ = 230964048. Its totient is φ = 27929600.

The previous prime is 85887449. The next prime is 85887463. The reversal of 85887456 is 65478858.

It is an interprime number because it is at equal distance from previous prime (85887449) and next prime (85887463).

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

It is a junction number, because it is equal to n+sod(n) for n = 85887399 and 85887408.

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, 6975 + ... + 14846.

It is an arithmetic number, because the mean of its divisors is an integer number (4811751).

Almost surely, 2^85887456 is an apocalyptic number.

It is an amenable number.

85887456 is an abundant number, since it is smaller than the sum of its proper divisors (145076592).

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

85887456 is a wasteful number, since it uses less digits than its factorization.

85887456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21875 (or 21867 counting only the distinct ones).

The product of its digits is 2150400, while the sum is 51.

The square root of 85887456 is about 9267.5485431693. The cubic root of 85887456 is about 441.2078657668.

The spelling of 85887456 in words is "eighty-five million, eight hundred eighty-seven thousand, four hundred fifty-six".