164401920 has 288 divisors, whose sum is σ = 600445440. Its totient is φ = 42577920.

The previous prime is 164401891. The next prime is 164401931. The reversal of 164401920 is 29104461.

164401920 is a `hidden beast` number, since 1 + 644 + 0 + 19 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×164401920³ (a number of 26 digits) contains 333 as substring.

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, 2315485 + ... + 2315555.

It is an arithmetic number, because the mean of its divisors is an integer number (2084880).

Almost surely, 2^164401920 is an apocalyptic number.

164401920 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 164401920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300222720).

164401920 is an abundant number, since it is smaller than the sum of its proper divisors (436043520).

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

164401920 is an equidigital number, since it uses as much as digits as its factorization.

164401920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 164401920 is about 12821.9312117949. The cubic root of 164401920 is about 547.8171553311.

The spelling of 164401920 in words is "one hundred sixty-four million, four hundred one thousand, nine hundred twenty".