164007936 has 104 divisors (see below), whose sum is σ = 486217760. Its totient is φ = 54632448.

The previous prime is 164007919. The next prime is 164007947. The reversal of 164007936 is 639700461.

164007936 is a `hidden beast` number, since 1 + 640 + 0 + 7 + 9 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 164007936.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109851 + ... + 111333.

Almost surely, 2^164007936 is an apocalyptic number.

164007936 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 164007936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243108880).

164007936 is an abundant number, since it is smaller than the sum of its proper divisors (322209824).

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

164007936 is an equidigital number, since it uses as much as digits as its factorization.

164007936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 164007936 is about 12806.5583198610. The cubic root of 164007936 is about 547.3791964660.

It can be divided in two parts, 16400 and 7936, that added together give a square (24336 = 156²).

The spelling of 164007936 in words is "one hundred sixty-four million, seven thousand, nine hundred thirty-six".