8144964 has 36 divisors (see below), whose sum is σ = 20931820. Its totient is φ = 2669760.

The previous prime is 8144963. The next prime is 8144999. The reversal of 8144964 is 4694418.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1016064 + 7128900 = 1008^2 + 2670^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×8144964² = 132680877122592, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8144963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 342 + ... + 4050.

Almost surely, 2^8144964 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 8144964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10465910).

8144964 is an abundant number, since it is smaller than the sum of its proper divisors (12786856).

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

8144964 is a wasteful number, since it uses less digits than its factorization.

8144964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3780 (or 3775 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 8144964 is about 2853.9383314991. The cubic root of 8144964 is about 201.2008091906.

It can be divided in two parts, 814 and 4964, that added together give a triangular number (5778 = T₁₀₇).

The spelling of 8144964 in words is "eight million, one hundred forty-four thousand, nine hundred sixty-four".