164396736 has 112 divisors (see below), whose sum is σ = 552378880. Its totient is φ = 46967040.

The previous prime is 164396723. The next prime is 164396753. The reversal of 164396736 is 637693461.

164396736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 164396691 and 164396700.

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, 5301 + ... + 18891.

Almost surely, 2^164396736 is an apocalyptic number.

164396736 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 164396736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276189440).

164396736 is an abundant number, since it is smaller than the sum of its proper divisors (387982144).

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

164396736 is a wasteful number, since it uses less digits than its factorization.

164396736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13619 (or 13603 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 164396736 is about 12821.7290565664. The cubic root of 164396736 is about 547.8113972597.

It can be divided in two parts, 164 and 396736, that added together give a square (396900 = 630²).

The spelling of 164396736 in words is "one hundred sixty-four million, three hundred ninety-six thousand, seven hundred thirty-six".