164404656 has 120 divisors (see below), whose sum is σ = 511661696. Its totient is φ = 48936960.

The previous prime is 164404649. The next prime is 164404673. The reversal of 164404656 is 656404461.

164404656 is a `hidden beast` number, since 1 + 644 + 0 + 4 + 6 + 5 + 6 = 666.

164404656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×164404656³ (a number of 26 digits) contains 333 as substring.

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 164404656.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56616 + ... + 59448.

Almost surely, 2^164404656 is an apocalyptic number.

164404656 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 164404656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255830848).

164404656 is an abundant number, since it is smaller than the sum of its proper divisors (347257040).

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

164404656 is a wasteful number, since it uses less digits than its factorization.

164404656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2891 (or 2882 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 164404656 is about 12822.0379035472. The cubic root of 164404656 is about 547.8201942644.

The spelling of 164404656 in words is "one hundred sixty-four million, four hundred four thousand, six hundred fifty-six".