164981760 has 176 divisors, whose sum is σ = 551805696. Its totient is φ = 41992192.

The previous prime is 164981749. The next prime is 164981767. The reversal of 164981760 is 67189461.

It is a super-2 number, since 2×164981760² = 54437962265395200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (164981767) 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 15 ways as a sum of consecutive naturals, for example, 353047 + ... + 353513.

Almost surely, 2^164981760 is an apocalyptic number.

164981760 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 164981760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275902848).

164981760 is an abundant number, since it is smaller than the sum of its proper divisors (386823936).

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

164981760 is a wasteful number, since it uses less digits than its factorization.

164981760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 164981760 is about 12844.5225680054. The cubic root of 164981760 is about 548.4604438174.

The spelling of 164981760 in words is "one hundred sixty-four million, nine hundred eighty-one thousand, seven hundred sixty".