164457216 has 360 divisors, whose sum is σ = 617320704. Its totient is φ = 42301440.

The previous prime is 164457211. The next prime is 164457221. The reversal of 164457216 is 612754461.

164457216 is a `hidden beast` number, since 1 + 644 + 5 + 7 + 2 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (164457211) and next prime (164457221).

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

Its product of digits (40320) is a multiple of the sum of its prime divisors (126).

It is not an unprimeable number, because it can be changed into a prime (164457211) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1596621 + ... + 1596723.

Almost surely, 2^164457216 is an apocalyptic number.

164457216 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 164457216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308660352).

164457216 is an abundant number, since it is smaller than the sum of its proper divisors (452863488).

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

164457216 is a wasteful number, since it uses less digits than its factorization.

164457216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 126 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 164457216 is about 12824.0873359471. The cubic root of 164457216 is about 547.8785672291.

The spelling of 164457216 in words is "one hundred sixty-four million, four hundred fifty-seven thousand, two hundred sixteen".