164514720 has 96 divisors (see below), whose sum is σ = 524180160. Its totient is φ = 43366400.

The previous prime is 164514719. The next prime is 164514731. The reversal of 164514720 is 27415461.

164514720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40795 + ... + 44645.

It is an arithmetic number, because the mean of its divisors is an integer number (5460210).

Almost surely, 2^164514720 is an apocalyptic number.

164514720 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 164514720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262090080).

164514720 is an abundant number, since it is smaller than the sum of its proper divisors (359665440).

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

164514720 is a wasteful number, since it uses less digits than its factorization.

164514720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3958 (or 3950 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 164514720 is about 12826.3291708891. The cubic root of 164514720 is about 547.9424167388.

The spelling of 164514720 in words is "one hundred sixty-four million, five hundred fourteen thousand, seven hundred twenty".