164022516 has 144 divisors (see below), whose sum is σ = 513770880. Its totient is φ = 44323200.

The previous prime is 164022493. The next prime is 164022539. The reversal of 164022516 is 615220461.

164022516 is a `hidden beast` number, since 1 + 6 + 402 + 251 + 6 = 666.

164022516 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (164022493) and next prime (164022539).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 164022516.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 272616 + ... + 273216.

Almost surely, 2^164022516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164022516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256885440).

164022516 is an abundant number, since it is smaller than the sum of its proper divisors (349748364).

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

164022516 is a wasteful number, since it uses less digits than its factorization.

164022516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 164022516 is about 12807.1275467999. The cubic root of 164022516 is about 547.3954163156.

Adding to 164022516 its reverse (615220461), we get a palindrome (779242977).

The spelling of 164022516 in words is "one hundred sixty-four million, twenty-two thousand, five hundred sixteen".