164868480 has 512 divisors, whose sum is σ = 705024000. Its totient is φ = 35610624.

The previous prime is 164868443. The next prime is 164868523. The reversal of 164868480 is 84868461.

164868480 is a `hidden beast` number, since 16 + 486 + 84 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3507817 + ... + 3507863.

It is an arithmetic number, because the mean of its divisors is an integer number (1377000).

Almost surely, 2^164868480 is an apocalyptic number.

164868480 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 164868480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352512000).

164868480 is an abundant number, since it is smaller than the sum of its proper divisors (540155520).

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

164868480 is a wasteful number, since it uses less digits than its factorization.

164868480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 164868480 is about 12840.1121490429. The cubic root of 164868480 is about 548.3348868581.

The spelling of 164868480 in words is "one hundred sixty-four million, eight hundred sixty-eight thousand, four hundred eighty".