164990400 has 168 divisors, whose sum is σ = 556534320. Its totient is φ = 42762240.

The previous prime is 164990377. The next prime is 164990407. The reversal of 164990400 is 4099461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164990407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177136 + ... + 178064.

Almost surely, 2^164990400 is an apocalyptic number.

164990400 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 164990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278267160).

164990400 is an abundant number, since it is smaller than the sum of its proper divisors (391543920).

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

164990400 is a wasteful number, since it uses less digits than its factorization.

164990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 164990400 is about 12844.8588937364. The cubic root of 164990400 is about 548.4700178364.

The spelling of 164990400 in words is "one hundred sixty-four million, nine hundred ninety thousand, four hundred".