164029800 has 192 divisors, whose sum is σ = 574516800. Its totient is φ = 38348800.

The previous prime is 164029799. The next prime is 164029819. The reversal of 164029800 is 8920461.

164029800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 857 × 825 × 232.

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, 190972 + ... + 191828.

It is an arithmetic number, because the mean of its divisors is an integer number (2992275).

Almost surely, 2^164029800 is an apocalyptic number.

164029800 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 164029800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287258400).

164029800 is an abundant number, since it is smaller than the sum of its proper divisors (410487000).

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

164029800 is a wasteful number, since it uses less digits than its factorization.

164029800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 164029800 is about 12807.4119165427. The cubic root of 164029800 is about 547.4035192056.

The spelling of 164029800 in words is "one hundred sixty-four million, twenty-nine thousand, eight hundred".