164017920 has 216 divisors, whose sum is σ = 577413648. Its totient is φ = 39649280.

The previous prime is 164017901. The next prime is 164017927. The reversal of 164017920 is 29710461.

It is a happy number.

It is a super-2 number, since 2×164017920² = 53803756162252800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164017927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 464464 + ... + 464816.

Almost surely, 2^164017920 is an apocalyptic number.

164017920 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 164017920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288706824).

164017920 is an abundant number, since it is smaller than the sum of its proper divisors (413395728).

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

164017920 is a wasteful number, since it uses less digits than its factorization.

164017920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 164017920 is about 12806.9481142074. The cubic root of 164017920 is about 547.3903034956.

The spelling of 164017920 in words is "one hundred sixty-four million, seventeen thousand, nine hundred twenty".