164957760 has 336 divisors, whose sum is σ = 639055872. Its totient is φ = 38707200.

The previous prime is 164957759. The next prime is 164957773. The reversal of 164957760 is 67759461.

It is a happy number.

164957760 is a `hidden beast` number, since 16 + 4 + 9 + 577 + 60 = 666.

It is a super-5 number, since 5×164957760⁵ (a number of 42 digits) contains 55555 as substring. Note that it is a super-d number also for d = 3, 2.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1298817 + ... + 1298943.

It is an arithmetic number, because the mean of its divisors is an integer number (1901952).

Almost surely, 2^164957760 is an apocalyptic number.

164957760 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 164957760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319527936).

164957760 is an abundant number, since it is smaller than the sum of its proper divisors (474098112).

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

164957760 is a wasteful number, since it uses less digits than its factorization.

164957760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 164957760 is about 12843.5882836534. The cubic root of 164957760 is about 548.4338475662.

The spelling of 164957760 in words is "one hundred sixty-four million, nine hundred fifty-seven thousand, seven hundred sixty".