164409720 has 128 divisors (see below), whose sum is σ = 529079040. Its totient is φ = 40724480.

The previous prime is 164409653. The next prime is 164409731. The reversal of 164409720 is 27904461.

It is a happy number.

164409720 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×164409720³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168835 + ... + 169805.

It is an arithmetic number, because the mean of its divisors is an integer number (4133430).

Almost surely, 2^164409720 is an apocalyptic number.

164409720 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 164409720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264539520).

164409720 is an abundant number, since it is smaller than the sum of its proper divisors (364669320).

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

164409720 is a wasteful number, since it uses less digits than its factorization.

164409720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 164409720 is about 12822.2353745359. The cubic root of 164409720 is about 547.8258188678.

The spelling of 164409720 in words is "one hundred sixty-four million, four hundred nine thousand, seven hundred twenty".