164417616 has 120 divisors (see below), whose sum is σ = 523912896. Its totient is φ = 47646720.

The previous prime is 164417587. The next prime is 164417633. The reversal of 164417616 is 616714461.

It is a happy number.

164417616 is a `hidden beast` number, since 1 + 644 + 1 + 7 + 6 + 1 + 6 = 666.

It is a super-3 number, since 3×164417616³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34176 + ... + 38688.

Almost surely, 2^164417616 is an apocalyptic number.

164417616 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 164417616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261956448).

164417616 is an abundant number, since it is smaller than the sum of its proper divisors (359495280).

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

164417616 is a wasteful number, since it uses less digits than its factorization.

164417616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4561 (or 4552 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 164417616 is about 12822.5432734696. The cubic root of 164417616 is about 547.8345887537.

The spelling of 164417616 in words is "one hundred sixty-four million, four hundred seventeen thousand, six hundred sixteen".