165415376 has 60 divisors (see below), whose sum is σ = 376689060. Its totient is φ = 70156800.

The previous prime is 165415373. The next prime is 165415381. The reversal of 165415376 is 673514561.

It can be written as a sum of positive squares in 2 ways, for example, as 153165376 + 12250000 = 12376^2 + 3500^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165415373) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78140 + ... + 80228.

It is an arithmetic number, because the mean of its divisors is an integer number (6278151).

Almost surely, 2^165415376 is an apocalyptic number.

165415376 is a gapful number since it is divisible by the number (16) 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 165415376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188344530).

165415376 is an abundant number, since it is smaller than the sum of its proper divisors (211273684).

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

165415376 is a wasteful number, since it uses less digits than its factorization.

165415376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2212 (or 2199 counting only the distinct ones).

The product of its digits is 75600, while the sum is 38.

The square root of 165415376 is about 12861.3909045639. The cubic root of 165415376 is about 548.9405235042.

The spelling of 165415376 in words is "one hundred sixty-five million, four hundred fifteen thousand, three hundred seventy-six".