164001640 has 64 divisors (see below), whose sum is σ = 412413120. Its totient is φ = 58176000.

The previous prime is 164001623. The next prime is 164001653. The reversal of 164001640 is 46100461.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13495 + ... + 22585.

It is an arithmetic number, because the mean of its divisors is an integer number (6443955).

Almost surely, 2^164001640 is an apocalyptic number.

164001640 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 164001640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206206560).

164001640 is an abundant number, since it is smaller than the sum of its proper divisors (248411480).

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

164001640 is a wasteful number, since it uses less digits than its factorization.

164001640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9154 (or 9150 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 164001640 is about 12806.3125059480. The cubic root of 164001640 is about 547.3721920417.

The spelling of 164001640 in words is "one hundred sixty-four million, one thousand, six hundred forty".