164035890 has 96 divisors (see below), whose sum is σ = 467279280. Its totient is φ = 39739392.

The previous prime is 164035889. The next prime is 164035897. The reversal of 164035890 is 98530461.

164035890 is a `hidden beast` number, since 1 + 640 + 3 + 5 + 8 + 9 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 57471561 + 106564329 = 7581^2 + 10323^2 .

It is not an unprimeable number, because it can be changed into a prime (164035897) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42522 + ... + 46218.

Almost surely, 2^164035890 is an apocalyptic number.

164035890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164035890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233639640).

164035890 is an abundant number, since it is smaller than the sum of its proper divisors (303243390).

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

164035890 is a wasteful number, since it uses less digits than its factorization.

164035890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3756 (or 3753 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 164035890 is about 12807.6496672887. The cubic root of 164035890 is about 547.4102936782.

The spelling of 164035890 in words is "one hundred sixty-four million, thirty-five thousand, eight hundred ninety".