164998080 has 336 divisors, whose sum is σ = 635873760. Its totient is φ = 40255488.

The previous prime is 164998061. The next prime is 164998103. The reversal of 164998080 is 80899461.

164998080 is a `hidden beast` number, since 1 + 6 + 499 + 80 + 80 = 666.

164998080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 1460104 + ... + 1460216.

Almost surely, 2^164998080 is an apocalyptic number.

164998080 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 164998080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317936880).

164998080 is an abundant number, since it is smaller than the sum of its proper divisors (470875680).

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

164998080 is a wasteful number, since it uses less digits than its factorization.

164998080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 164998080 is about 12845.1578425491. The cubic root of 164998080 is about 548.4785277949.

The spelling of 164998080 in words is "one hundred sixty-four million, nine hundred ninety-eight thousand, eighty".