165607416 has 96 divisors (see below), whose sum is σ = 500987760. Its totient is φ = 50948352.

The previous prime is 165607411. The next prime is 165607433. The reversal of 165607416 is 614706561.

165607416 is a `hidden beast` number, since 1 + 6 + 5 + 607 + 41 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165607411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21996 + ... + 28548.

Almost surely, 2^165607416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165607416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250493880).

165607416 is an abundant number, since it is smaller than the sum of its proper divisors (335380344).

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

165607416 is a wasteful number, since it uses less digits than its factorization.

165607416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6587 (or 6571 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 165607416 is about 12868.8544944762. The cubic root of 165607416 is about 549.1528733101.

The spelling of 165607416 in words is "one hundred sixty-five million, six hundred seven thousand, four hundred sixteen".