164888460 has 240 divisors, whose sum is σ = 595203840. Its totient is φ = 37791360.

The previous prime is 164888453. The next prime is 164888467. The reversal of 164888460 is 64888461.

It is an interprime number because it is at equal distance from previous prime (164888453) and next prime (164888467).

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

It is not an unprimeable number, because it can be changed into a prime (164888467) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 338337 + ... + 338823.

It is an arithmetic number, because the mean of its divisors is an integer number (2480016).

Almost surely, 2^164888460 is an apocalyptic number.

164888460 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 164888460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297601920).

164888460 is an abundant number, since it is smaller than the sum of its proper divisors (430315380).

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

164888460 is a wasteful number, since it uses less digits than its factorization.

164888460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 527 counting only the distinct ones).

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

The square root of 164888460 is about 12840.8901560601. The cubic root of 164888460 is about 548.3570364093.

Subtracting from 164888460 its reverse (64888461), we obtain a palindrome (99999999).

The spelling of 164888460 in words is "one hundred sixty-four million, eight hundred eighty-eight thousand, four hundred sixty".