164075520 has 288 divisors, whose sum is σ = 616215600. Its totient is φ = 37158912.

The previous prime is 164075473. The next prime is 164075531. The reversal of 164075520 is 25570461.

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

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, 1505226 + ... + 1505334.

Almost surely, 2^164075520 is an apocalyptic number.

164075520 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 164075520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308107800).

164075520 is an abundant number, since it is smaller than the sum of its proper divisors (452140080).

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

164075520 is a wasteful number, since it uses less digits than its factorization.

164075520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 164075520 is about 12809.1966961242. The cubic root of 164075520 is about 547.4543737129.

The spelling of 164075520 in words is "one hundred sixty-four million, seventy-five thousand, five hundred twenty".