164888052 has 24 divisors (see below), whose sum is σ = 439701696. Its totient is φ = 47110848.

The previous prime is 164888051. The next prime is 164888071. The reversal of 164888052 is 250888461.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 164887995 and 164888013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164888051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 981393 + ... + 981560.

It is an arithmetic number, because the mean of its divisors is an integer number (18320904).

Almost surely, 2^164888052 is an apocalyptic number.

164888052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164888052 is an abundant number, since it is smaller than the sum of its proper divisors (274813644).

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

164888052 is a wasteful number, since it uses less digits than its factorization.

164888052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962967 (or 1962965 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The square root of 164888052 is about 12840.8742693011. The cubic root of 164888052 is about 548.3565841241.

The spelling of 164888052 in words is "one hundred sixty-four million, eight hundred eighty-eight thousand, fifty-two".