164851520 has 56 divisors (see below), whose sum is σ = 397986504. Its totient is φ = 65028096.

The previous prime is 164851507. The next prime is 164851523. The reversal of 164851520 is 25158461.

164851520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 74373376 + 90478144 = 8624^2 + 9512^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164851523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19832 + ... + 26888.

Almost surely, 2^164851520 is an apocalyptic number.

164851520 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 164851520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198993252).

164851520 is an abundant number, since it is smaller than the sum of its proper divisors (233134984).

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

164851520 is an equidigital number, since it uses as much as digits as its factorization.

164851520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7147 (or 7137 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The square root of 164851520 is about 12839.4517016888. The cubic root of 164851520 is about 548.3160838329.

The spelling of 164851520 in words is "one hundred sixty-four million, eight hundred fifty-one thousand, five hundred twenty".