164273040 has 120 divisors (see below), whose sum is σ = 584179128. Its totient is φ = 41226240.

The previous prime is 164273033. The next prime is 164273047. The reversal of 164273040 is 40372461.

164273040 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (164273033) and next prime (164273047).

It can be written as a sum of positive squares in 4 ways, for example, as 74857104 + 89415936 = 8652^2 + 9456^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 164272995 and 164273013.

It is not an unprimeable number, because it can be changed into a prime (164273047) 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 23 ways as a sum of consecutive naturals, for example, 5530 + ... + 18950.

Almost surely, 2^164273040 is an apocalyptic number.

164273040 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 164273040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292089564).

164273040 is an abundant number, since it is smaller than the sum of its proper divisors (419906088).

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

164273040 is a wasteful number, since it uses less digits than its factorization.

164273040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13457 (or 13448 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 164273040 is about 12816.9044624667. The cubic root of 164273040 is about 547.6739673597.

The spelling of 164273040 in words is "one hundred sixty-four million, two hundred seventy-three thousand, forty".