164279040 has 144 divisors (see below), whose sum is σ = 529804800. Its totient is φ = 43380736.

The previous prime is 164279033. The next prime is 164279047. The reversal of 164279040 is 40972461.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (164279033) and next prime (164279047).

It is a junction number, because it is equal to n+sod(n) for n = 164278992 and 164279010.

It is not an unprimeable number, because it can be changed into a prime (164279047) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 687241 + ... + 687479.

It is an arithmetic number, because the mean of its divisors is an integer number (3679200).

Almost surely, 2^164279040 is an apocalyptic number.

164279040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164279040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264902400).

164279040 is an abundant number, since it is smaller than the sum of its proper divisors (365525760).

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

164279040 is a wasteful number, since it uses less digits than its factorization.

164279040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 164279040 is about 12817.1385262078. The cubic root of 164279040 is about 547.6806351281.

The spelling of 164279040 in words is "one hundred sixty-four million, two hundred seventy-nine thousand, forty".