164037120 has 320 divisors, whose sum is σ = 593961984. Its totient is φ = 38338560.

The previous prime is 164037119. The next prime is 164037157. The reversal of 164037120 is 21730461.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 3095014 + ... + 3095066.

Almost surely, 2^164037120 is an apocalyptic number.

164037120 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 164037120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296980992).

164037120 is an abundant number, since it is smaller than the sum of its proper divisors (429924864).

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

164037120 is a wasteful number, since it uses less digits than its factorization.

164037120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 164037120 is about 12807.6976853766. The cubic root of 164037120 is about 547.4116619011.

Adding to 164037120 its reverse (21730461), we get a palindrome (185767581).

The spelling of 164037120 in words is "one hundred sixty-four million, thirty-seven thousand, one hundred twenty".