164540640 has 144 divisors (see below), whose sum is σ = 569906064. Its totient is φ = 39874560.

The previous prime is 164540633. The next prime is 164540659. The reversal of 164540640 is 46045461.

It is a super-3 number, since 3×164540640³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 164540598 and 164540607.

It is a congruent number.

It is an unprimeable number.

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, 56664 + ... + 59496.

It is an arithmetic number, because the mean of its divisors is an integer number (3957681).

Almost surely, 2^164540640 is an apocalyptic number.

164540640 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 164540640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284953032).

164540640 is an abundant number, since it is smaller than the sum of its proper divisors (405365424).

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

164540640 is a wasteful number, since it uses less digits than its factorization.

164540640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2873 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 164540640 is about 12827.3395526898. The cubic root of 164540640 is about 547.9711921205.

The spelling of 164540640 in words is "one hundred sixty-four million, five hundred forty thousand, six hundred forty".