164025360 has 120 divisors (see below), whose sum is σ = 553190040. Its totient is φ = 43554816.

The previous prime is 164025359. The next prime is 164025377. The reversal of 164025360 is 63520461.

It can be written as a sum of positive squares in 4 ways, for example, as 16548624 + 147476736 = 4068^2 + 12144^2 .

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

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 23 ways as a sum of consecutive naturals, for example, 294202 + ... + 294758.

It is an arithmetic number, because the mean of its divisors is an integer number (4609917).

Almost surely, 2^164025360 is an apocalyptic number.

164025360 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 164025360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276595020).

164025360 is an abundant number, since it is smaller than the sum of its proper divisors (389164680).

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

164025360 is a wasteful number, since it uses less digits than its factorization.

164025360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 164025360 is about 12807.2385782416. The cubic root of 164025360 is about 547.3985800755.

It can be divided in two parts, 1640 and 25360, that added together give a cube (27000 = 30³).

The spelling of 164025360 in words is "one hundred sixty-four million, twenty-five thousand, three hundred sixty".