8440164 has 36 divisors (see below), whose sum is σ = 21563724. Its totient is φ = 2783232.

The previous prime is 8440147. The next prime is 8440183. The reversal of 8440164 is 4610448.

It can be written as a sum of positive squares in 2 ways, for example, as 6502500 + 1937664 = 2550^2 + 1392^2 .

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

It is a super-3 number, since 3×8440164³ (a number of 22 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2284 + ... + 4700.

Almost surely, 2^8440164 is an apocalyptic number.

It is an amenable number.

8440164 is an abundant number, since it is smaller than the sum of its proper divisors (13123560).

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

8440164 is a wasteful number, since it uses less digits than its factorization.

8440164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2524 (or 2519 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 8440164 is about 2905.1960346937. The cubic root of 8440164 is about 203.6027447931.

The spelling of 8440164 in words is "eight million, four hundred forty thousand, one hundred sixty-four".