164351720 has 64 divisors (see below), whose sum is σ = 401904720. Its totient is φ = 60125184.

The previous prime is 164351717. The next prime is 164351731. The reversal of 164351720 is 27153461.

164351720 is digitally balanced in base 3, 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 8 ways, for example, as 16048036 + 148303684 = 4006^2 + 12178^2 .

It is a super-2 number, since 2×164351720² = 54022975733916800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57362 + ... + 60158.

Almost surely, 2^164351720 is an apocalyptic number.

164351720 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 164351720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200952360).

164351720 is an abundant number, since it is smaller than the sum of its proper divisors (237553000).

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

164351720 is a wasteful number, since it uses less digits than its factorization.

164351720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2934 (or 2930 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 164351720 is about 12819.9734789117. The cubic root of 164351720 is about 547.7613911390.

The spelling of 164351720 in words is "one hundred sixty-four million, three hundred fifty-one thousand, seven hundred twenty".