164523620 has 48 divisors (see below), whose sum is σ = 370001520. Its totient is φ = 61231104.

The previous prime is 164523617. The next prime is 164523629. The reversal of 164523620 is 26325461.

It can be written as a sum of positive squares in 8 ways, for example, as 529984 + 163993636 = 728^2 + 12806^2 .

It is not an unprimeable number, because it can be changed into a prime (164523629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27542 + ... + 32978.

It is an arithmetic number, because the mean of its divisors is an integer number (7708365).

Almost surely, 2^164523620 is an apocalyptic number.

164523620 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 164523620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185000760).

164523620 is an abundant number, since it is smaller than the sum of its proper divisors (205477900).

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

164523620 is a wasteful number, since it uses less digits than its factorization.

164523620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5552 (or 5550 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 164523620 is about 12826.6761087976. The cubic root of 164523620 is about 547.9522975153.

The spelling of 164523620 in words is "one hundred sixty-four million, five hundred twenty-three thousand, six hundred twenty".