164262240 has 144 divisors (see below), whose sum is σ = 575881488. Its totient is φ = 42605568.

The previous prime is 164262209. The next prime is 164262247. The reversal of 164262240 is 42262461.

164262240 is a `hidden beast` number, since 16 + 426 + 224 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164262247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51739 + ... + 54821.

It is an arithmetic number, because the mean of its divisors is an integer number (3999177).

Almost surely, 2^164262240 is an apocalyptic number.

164262240 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 164262240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287940744).

164262240 is an abundant number, since it is smaller than the sum of its proper divisors (411619248).

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

164262240 is a wasteful number, since it uses less digits than its factorization.

164262240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3141 (or 3130 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 164262240 is about 12816.4831369608. The cubic root of 164262240 is about 547.6619649672.

The spelling of 164262240 in words is "one hundred sixty-four million, two hundred sixty-two thousand, two hundred forty".