164444040 has 128 divisors (see below), whose sum is σ = 561052800. Its totient is φ = 42819840.

The previous prime is 164444039. The next prime is 164444081. The reversal of 164444040 is 40444461.

164444040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 164443995 and 164444013.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44670 + ... + 48210.

It is an arithmetic number, because the mean of its divisors is an integer number (4383225).

Almost surely, 2^164444040 is an apocalyptic number.

164444040 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 164444040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280526400).

164444040 is an abundant number, since it is smaller than the sum of its proper divisors (396608760).

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

164444040 is a wasteful number, since it uses less digits than its factorization.

164444040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3604 (or 3594 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 164444040 is about 12823.5736048888. The cubic root of 164444040 is about 547.8639351747.

The spelling of 164444040 in words is "one hundred sixty-four million, four hundred forty-four thousand, forty".