86990464 has 64 divisors (see below), whose sum is σ = 195252480. Its totient is φ = 38246400.

The previous prime is 86990461. The next prime is 86990537. The reversal of 86990464 is 46409968.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (86990461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42652 + ... + 44644.

It is an arithmetic number, because the mean of its divisors is an integer number (3050820).

Almost surely, 2^86990464 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 86990464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97626240).

86990464 is an abundant number, since it is smaller than the sum of its proper divisors (108262016).

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

86990464 is a wasteful number, since it uses less digits than its factorization.

86990464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The square root of 86990464 is about 9326.8678558238. The cubic root of 86990464 is about 443.0885721257.

It can be divided in two parts, 869904 and 64, that added together give a palindrome (869968).

The spelling of 86990464 in words is "eighty-six million, nine hundred ninety thousand, four hundred sixty-four".