164467240 has 64 divisors (see below), whose sum is σ = 428924160. Its totient is φ = 55587840.

The previous prime is 164467229. The next prime is 164467253. The reversal of 164467240 is 42764461.

It is a junction number, because it is equal to n+sod(n) for n = 164467196 and 164467205.

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, 15744 + ... + 24016.

It is an arithmetic number, because the mean of its divisors is an integer number (6701940).

Almost surely, 2^164467240 is an apocalyptic number.

164467240 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 164467240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214462080).

164467240 is an abundant number, since it is smaller than the sum of its proper divisors (264456920).

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

164467240 is a wasteful number, since it uses less digits than its factorization.

164467240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8362 (or 8358 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 164467240 is about 12824.4781570246. The cubic root of 164467240 is about 547.8896984386.

The spelling of 164467240 in words is "one hundred sixty-four million, four hundred sixty-seven thousand, two hundred forty".