165674880 has 288 divisors, whose sum is σ = 666633240. Its totient is φ = 37804032.

The previous prime is 165674869. The next prime is 165674903. The reversal of 165674880 is 88476561.

It is a happy number.

165674880 is a `hidden beast` number, since 1 + 6 + 567 + 4 + 8 + 80 = 666.

165674880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 281947 + ... + 282533.

Almost surely, 2^165674880 is an apocalyptic number.

165674880 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 165674880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333316620).

165674880 is an abundant number, since it is smaller than the sum of its proper divisors (500958360).

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

165674880 is a wasteful number, since it uses less digits than its factorization.

165674880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 165674880 is about 12871.4754399020. The cubic root of 165674880 is about 549.2274332155.

The spelling of 165674880 in words is "one hundred sixty-five million, six hundred seventy-four thousand, eight hundred eighty".