164225280 has 72 divisors (see below), whose sum is σ = 524506752. Its totient is φ = 43792384.

The previous prime is 164225167. The next prime is 164225291. The reversal of 164225280 is 82522461.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17544 + ... + 25223.

It is an arithmetic number, because the mean of its divisors is an integer number (7284816).

Almost surely, 2^164225280 is an apocalyptic number.

164225280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164225280 is an abundant number, since it is smaller than the sum of its proper divisors (360281472).

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

164225280 is an equidigital number, since it uses as much as digits as its factorization.

164225280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42791 (or 42777 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 164225280 is about 12815.0411626339. The cubic root of 164225280 is about 547.6208861318.

The spelling of 164225280 in words is "one hundred sixty-four million, two hundred twenty-five thousand, two hundred eighty".