164835936 has 72 divisors (see below), whose sum is σ = 477640800. Its totient is φ = 53903616.

The previous prime is 164835907. The next prime is 164836019. The reversal of 164835936 is 639538461.

164835936 is a `hidden beast` number, since 16 + 48 + 3 + 593 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 164835891 and 164835900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9865 + ... + 20663.

It is an arithmetic number, because the mean of its divisors is an integer number (6633900).

Almost surely, 2^164835936 is an apocalyptic number.

164835936 is a gapful number since it is divisible by the number (16) 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 164835936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238820400).

164835936 is an abundant number, since it is smaller than the sum of its proper divisors (312804864).

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

164835936 is a wasteful number, since it uses less digits than its factorization.

164835936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10868 (or 10857 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 164835936 is about 12838.8448078478. The cubic root of 164835936 is about 548.2988051991.

The spelling of 164835936 in words is "one hundred sixty-four million, eight hundred thirty-five thousand, nine hundred thirty-six".