164629920 has 192 divisors, whose sum is σ = 638426880. Its totient is φ = 34725888.

The previous prime is 164629867. The next prime is 164629943. The reversal of 164629920 is 29926461.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41796 + ... + 45564.

It is an arithmetic number, because the mean of its divisors is an integer number (3325140).

Almost surely, 2^164629920 is an apocalyptic number.

164629920 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 164629920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319213440).

164629920 is an abundant number, since it is smaller than the sum of its proper divisors (473796960).

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

164629920 is a wasteful number, since it uses less digits than its factorization.

164629920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3807 (or 3799 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 164629920 is about 12830.8191476616. The cubic root of 164629920 is about 548.0702841992.

The spelling of 164629920 in words is "one hundred sixty-four million, six hundred twenty-nine thousand, nine hundred twenty".