164526420 has 72 divisors (see below), whose sum is σ = 473697504. Its totient is φ = 42666624.

The previous prime is 164526419. The next prime is 164526421. The reversal of 164526420 is 24625461.

It is an interprime number because it is at equal distance from previous prime (164526419) and next prime (164526421).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164526421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81139 + ... + 83141.

It is an arithmetic number, because the mean of its divisors is an integer number (6579132).

Almost surely, 2^164526420 is an apocalyptic number.

164526420 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 164526420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236848752).

164526420 is an abundant number, since it is smaller than the sum of its proper divisors (309171084).

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

164526420 is a wasteful number, since it uses less digits than its factorization.

164526420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2089 (or 2050 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 164526420 is about 12826.7852558620. The cubic root of 164526420 is about 547.9554060006.

The spelling of 164526420 in words is "one hundred sixty-four million, five hundred twenty-six thousand, four hundred twenty".