164214624 has 48 divisors (see below), whose sum is σ = 492645888. Its totient is φ = 46918272.

The previous prime is 164214613. The next prime is 164214643. The reversal of 164214624 is 426412461.

It is a happy number.

164214624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×164214624² = 53932885470922752, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 164214591 and 164214600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121512 + ... + 122855.

It is an arithmetic number, because the mean of its divisors is an integer number (10263456).

Almost surely, 2^164214624 is an apocalyptic number.

164214624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

164214624 is an abundant number, since it is smaller than the sum of its proper divisors (328431264).

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

164214624 is a wasteful number, since it uses less digits than its factorization.

164214624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244387 (or 244379 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 164214624 is about 12814.6253944468. The cubic root of 164214624 is about 547.6090414788.

The spelling of 164214624 in words is "one hundred sixty-four million, two hundred fourteen thousand, six hundred twenty-four".