164993280 has 72 divisors (see below), whose sum is σ = 526959552. Its totient is φ = 43997184.

The previous prime is 164993261. The next prime is 164993287. The reversal of 164993280 is 82399461.

It is not an unprimeable number, because it can be changed into a prime (164993287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17644 + ... + 25323.

Almost surely, 2^164993280 is an apocalyptic number.

164993280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164993280 is an abundant number, since it is smaller than the sum of its proper divisors (361966272).

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

164993280 is an equidigital number, since it uses as much as digits as its factorization.

164993280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42991 (or 42977 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 164993280 is about 12844.9710003565. The cubic root of 164993280 is about 548.4732091018.

The spelling of 164993280 in words is "one hundred sixty-four million, nine hundred ninety-three thousand, two hundred eighty".