164869600 has 144 divisors (see below), whose sum is σ = 468720000. Its totient is φ = 55457280.

The previous prime is 164869583. The next prime is 164869633. The reversal of 164869600 is 6968461.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 330151 + ... + 330649.

It is an arithmetic number, because the mean of its divisors is an integer number (3255000).

Almost surely, 2^164869600 is an apocalyptic number.

164869600 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 164869600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234360000).

164869600 is an abundant number, since it is smaller than the sum of its proper divisors (303850400).

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

164869600 is a wasteful number, since it uses less digits than its factorization.

164869600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 164869600 is about 12840.1557622951. The cubic root of 164869600 is about 548.3361285220.

The spelling of 164869600 in words is "one hundred sixty-four million, eight hundred sixty-nine thousand, six hundred".