86494464 has 216 divisors, whose sum is σ = 295905792. Its totient is φ = 23777280.

The previous prime is 86494451. The next prime is 86494489. The reversal of 86494464 is 46449468.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (663552) is a multiple of the sum of its prime divisors (216).

It is a congruent number.

It is an unprimeable number.

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, 499882 + ... + 500054.

Almost surely, 2^86494464 is an apocalyptic number.

86494464 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86494464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147952896).

86494464 is an abundant number, since it is smaller than the sum of its proper divisors (209411328).

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

86494464 is a wasteful number, since it uses less digits than its factorization.

86494464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 216 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 86494464 is about 9300.2399969033. The cubic root of 86494464 is about 442.2448361326.

The spelling of 86494464 in words is "eighty-six million, four hundred ninety-four thousand, four hundred sixty-four".