164214680 has 64 divisors (see below), whose sum is σ = 430920000. Its totient is φ = 56297472.

The previous prime is 164214671. The next prime is 164214689. The reversal of 164214680 is 86412461.

It is an interprime number because it is at equal distance from previous prime (164214671) and next prime (164214689).

It is a super-2 number, since 2×164214680² = 53932922255004800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164214689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7736 + ... + 19704.

It is an arithmetic number, because the mean of its divisors is an integer number (6733125).

Almost surely, 2^164214680 is an apocalyptic number.

164214680 is a gapful number since it is divisible by the number (10) 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 164214680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215460000).

164214680 is an abundant number, since it is smaller than the sum of its proper divisors (266705320).

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

164214680 is a wasteful number, since it uses less digits than its factorization.

164214680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12001 (or 11983 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 164214680 is about 12814.6275794500. The cubic root of 164214680 is about 547.6091037268.

The spelling of 164214680 in words is "one hundred sixty-four million, two hundred fourteen thousand, six hundred eighty".