164834436 has 48 divisors (see below), whose sum is σ = 421243200. Its totient is φ = 49855872.

The previous prime is 164834413. The next prime is 164834447. The reversal of 164834436 is 634438461.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 164834394 and 164834403.

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, 250 + ... + 18158.

It is an arithmetic number, because the mean of its divisors is an integer number (8775900).

Almost surely, 2^164834436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164834436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210621600).

164834436 is an abundant number, since it is smaller than the sum of its proper divisors (256408764).

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

164834436 is a wasteful number, since it uses less digits than its factorization.

164834436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17988 (or 17986 counting only the distinct ones).

The product of its digits is 165888, while the sum is 39.

The square root of 164834436 is about 12838.7863912443. The cubic root of 164834436 is about 548.2971420288.

The spelling of 164834436 in words is "one hundred sixty-four million, eight hundred thirty-four thousand, four hundred thirty-six".