164473920 has 336 divisors, whose sum is σ = 639055872. Its totient is φ = 38522880.

The previous prime is 164473889. The next prime is 164473931. The reversal of 164473920 is 29374461.

164473920 is a `hidden beast` number, since 1 + 644 + 7 + 3 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 861025 + ... + 861215.

It is an arithmetic number, because the mean of its divisors is an integer number (1901952).

Almost surely, 2^164473920 is an apocalyptic number.

164473920 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 164473920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319527936).

164473920 is an abundant number, since it is smaller than the sum of its proper divisors (474581952).

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

164473920 is a wasteful number, since it uses less digits than its factorization.

164473920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 164473920 is about 12824.7385938272. The cubic root of 164473920 is about 547.8971160326.

The spelling of 164473920 in words is "one hundred sixty-four million, four hundred seventy-three thousand, nine hundred twenty".