164811240 has 128 divisors (see below), whose sum is σ = 599356800. Its totient is φ = 39951360.

The previous prime is 164811233. The next prime is 164811253. The reversal of 164811240 is 42118461.

It is a happy number.

164811240 is a `hidden beast` number, since 1 + 648 + 1 + 12 + 4 + 0 = 666.

164811240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 4944 + ... + 18816.

It is an arithmetic number, because the mean of its divisors is an integer number (4682475).

Almost surely, 2^164811240 is an apocalyptic number.

164811240 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 164811240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299678400).

164811240 is an abundant number, since it is smaller than the sum of its proper divisors (434545560).

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

164811240 is a wasteful number, since it uses less digits than its factorization.

164811240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13904 (or 13894 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 164811240 is about 12837.8830030500. The cubic root of 164811240 is about 548.2714214786.

The spelling of 164811240 in words is "one hundred sixty-four million, eight hundred eleven thousand, two hundred forty".