86773456 has 120 divisors (see below), whose sum is σ = 222971840. Its totient is φ = 31933440.

The previous prime is 86773417. The next prime is 86773459. The reversal of 86773456 is 65437768.

86773456 = 16³ + 17³ + ... + 136³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86773459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 257320 + ... + 257656.

Almost surely, 2^86773456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86773456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111485920).

86773456 is an abundant number, since it is smaller than the sum of its proper divisors (136198384).

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

86773456 is a wasteful number, since it uses less digits than its factorization.

86773456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 376 counting only the distinct ones).

The product of its digits is 846720, while the sum is 46.

The square root of 86773456 is about 9315.2271040485. The cubic root of 86773456 is about 442.7198197089.

The spelling of 86773456 in words is "eighty-six million, seven hundred seventy-three thousand, four hundred fifty-six".