165746880 has 336 divisors, whose sum is σ = 649041120. Its totient is φ = 38486016.

The previous prime is 165746849. The next prime is 165746927. The reversal of 165746880 is 88647561.

It is a happy number.

165746880 is a `hidden beast` number, since 16 + 574 + 68 + 8 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 711244 + ... + 711476.

It is an arithmetic number, because the mean of its divisors is an integer number (1931670).

Almost surely, 2^165746880 is an apocalyptic number.

165746880 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 165746880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324520560).

165746880 is an abundant number, since it is smaller than the sum of its proper divisors (483294240).

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

165746880 is a wasteful number, since it uses less digits than its factorization.

165746880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 275 counting only the distinct ones).

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

The square root of 165746880 is about 12874.2720182541. The cubic root of 165746880 is about 549.3069838955.

The spelling of 165746880 in words is "one hundred sixty-five million, seven hundred forty-six thousand, eight hundred eighty".