164435040 has 288 divisors, whose sum is σ = 700068096. Its totient is φ = 34145280.

The previous prime is 164435021. The next prime is 164435057. The reversal of 164435040 is 40534461.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×164435040³ (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 164434995 and 164435013.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 110139 + ... + 111621.

It is an arithmetic number, because the mean of its divisors is an integer number (2430792).

Almost surely, 2^164435040 is an apocalyptic number.

164435040 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 164435040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350034048).

164435040 is an abundant number, since it is smaller than the sum of its proper divisors (535633056).

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

164435040 is a wasteful number, since it uses less digits than its factorization.

164435040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 164435040 is about 12823.2226838654. Note that the first 3 decimals coincide. The cubic root of 164435040 is about 547.8539401527.

The spelling of 164435040 in words is "one hundred sixty-four million, four hundred thirty-five thousand, forty".