164022840 has 128 divisors (see below), whose sum is σ = 565704000. Its totient is φ = 42223104.

The previous prime is 164022827. The next prime is 164022847. The reversal of 164022840 is 48220461.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164022847) 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 31 ways as a sum of consecutive naturals, for example, 28702 + ... + 33938.

Almost surely, 2^164022840 is an apocalyptic number.

164022840 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 164022840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282852000).

164022840 is an abundant number, since it is smaller than the sum of its proper divisors (401681160).

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

164022840 is a wasteful number, since it uses less digits than its factorization.

164022840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5286 (or 5276 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 164022840 is about 12807.1401960000. The cubic root of 164022840 is about 547.3957767458.

The spelling of 164022840 in words is "one hundred sixty-four million, twenty-two thousand, eight hundred forty".