86464672 has 48 divisors (see below), whose sum is σ = 196015680. Its totient is φ = 36776448.

The previous prime is 86464663. The next prime is 86464691. The reversal of 86464672 is 27646468.

It is a super-2 number, since 2×86464672² = 14952279008135168, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 29748 + ... + 32524.

It is an arithmetic number, because the mean of its divisors is an integer number (4083660).

Almost surely, 2^86464672 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 86464672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98007840).

86464672 is an abundant number, since it is smaller than the sum of its proper divisors (109551008).

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

86464672 is a wasteful number, since it uses less digits than its factorization.

86464672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2933 (or 2925 counting only the distinct ones).

The product of its digits is 387072, while the sum is 43.

The square root of 86464672 is about 9298.6381798627. The cubic root of 86464672 is about 442.1940549591.

It can be divided in two parts, 864 and 64672, that added together give a 16-th power (65536 = 2¹⁶).

The spelling of 86464672 in words is "eighty-six million, four hundred sixty-four thousand, six hundred seventy-two".