164117760 has 144 divisors (see below), whose sum is σ = 531767040. Its totient is φ = 43130880.

The previous prime is 164117753. The next prime is 164117771. The reversal of 164117760 is 67711461.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303090 + ... + 303630.

Almost surely, 2^164117760 is an apocalyptic number.

164117760 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 164117760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265883520).

164117760 is an abundant number, since it is smaller than the sum of its proper divisors (367649280).

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

164117760 is an equidigital number, since it uses as much as digits as its factorization.

164117760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 164117760 is about 12810.8454053587. The cubic root of 164117760 is about 547.5013490094.

The spelling of 164117760 in words is "one hundred sixty-four million, one hundred seventeen thousand, seven hundred sixty".