165415680 has 216 divisors, whose sum is σ = 582564528. Its totient is φ = 43327488.

The previous prime is 165415673. The next prime is 165415709. The reversal of 165415680 is 86514561.

165415680 is a `hidden beast` number, since 165 + 415 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 956074 + ... + 956246.

It is an arithmetic number, because the mean of its divisors is an integer number (2697058).

Almost surely, 2^165415680 is an apocalyptic number.

165415680 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 165415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291282264).

165415680 is an abundant number, since it is smaller than the sum of its proper divisors (417148848).

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

165415680 is a wasteful number, since it uses less digits than its factorization.

165415680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 165415680 is about 12861.4027228759. The cubic root of 165415680 is about 548.9408597845.

The spelling of 165415680 in words is "one hundred sixty-five million, four hundred fifteen thousand, six hundred eighty".