164401588 has 24 divisors (see below), whose sum is σ = 314919080. Its totient is φ = 74632320.

The previous prime is 164401583. The next prime is 164401591. The reversal of 164401588 is 885104461.

It can be written as a sum of positive squares in 4 ways, for example, as 5943844 + 158457744 = 2438^2 + 12588^2 .

It is a super-3 number, since 3×164401588³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164401583) 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 7 ways as a sum of consecutive naturals, for example, 22743 + ... + 29086.

Almost surely, 2^164401588 is an apocalyptic number.

It is an amenable number.

164401588 is a deficient number, since it is larger than the sum of its proper divisors (150517492).

164401588 is a wasteful number, since it uses less digits than its factorization.

164401588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51907 (or 51905 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The square root of 164401588 is about 12821.9182652207. The cubic root of 164401588 is about 547.8167865693.

It can be divided in two parts, 16 and 4401588, that added together give a square (4401604 = 2098²).

The spelling of 164401588 in words is "one hundred sixty-four million, four hundred one thousand, five hundred eighty-eight".