164516352 has 320 divisors, whose sum is σ = 593961984. Its totient is φ = 39075840.

The previous prime is 164516351. The next prime is 164516353. The reversal of 164516352 is 253615461.

It is an interprime number because it is at equal distance from previous prime (164516351) and next prime (164516353).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (164516351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1537483 + ... + 1537589.

Almost surely, 2^164516352 is an apocalyptic number.

164516352 is a gapful number since it is divisible by the number (12) 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 164516352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296980992).

164516352 is an abundant number, since it is smaller than the sum of its proper divisors (429445632).

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

164516352 is a wasteful number, since it uses less digits than its factorization.

164516352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 143 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 164516352 is about 12826.3927898689. The cubic root of 164516352 is about 547.9442286112.

The spelling of 164516352 in words is "one hundred sixty-four million, five hundred sixteen thousand, three hundred fifty-two".