8126464 has 38 divisors (see below), whose sum is σ = 16777184. Its totient is φ = 3932160.

The previous prime is 8126453. The next prime is 8126473. The reversal of 8126464 is 4646218.

It is a super-3 number, since 3×8126464³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a plaindrome in base 14.

It is a nialpdrome in base 2.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 262129 + ... + 262159.

Almost surely, 2^8126464 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 8126464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8388592).

8126464 is an abundant number, since it is smaller than the sum of its proper divisors (8650720).

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

8126464 is an frugal number, since it uses more digits than its factorization.

8126464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 33 counting only the distinct ones).

The product of its digits is 9216, while the sum is 31.

The square root of 8126464 is about 2850.6953537690. The cubic root of 8126464 is about 201.0483617530.

Multiplying 8126464 by its sum of digits (31), we get a square (251920384 = 15872²).

8126464 divided by its sum of digits (31) gives a 18-th power (262144 = 2¹⁸).

The spelling of 8126464 in words is "eight million, one hundred twenty-six thousand, four hundred sixty-four".