165016400 has 60 divisors (see below), whose sum is σ = 400633212. Its totient is φ = 65310720.

The previous prime is 165016391. The next prime is 165016429. The reversal of 165016400 is 4610561.

165016400 = 1256² + 1257² + ... + 1352².

It can be written as a sum of positive squares in 6 ways, for example, as 24641296 + 140375104 = 4964^2 + 11848^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36674 + ... + 40926.

Almost surely, 2^165016400 is an apocalyptic number.

165016400 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 165016400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200316606).

165016400 is an abundant number, since it is smaller than the sum of its proper divisors (235616812).

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

165016400 is a wasteful number, since it uses less digits than its factorization.

165016400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4368 (or 4357 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 165016400 is about 12845.8709319376. The cubic root of 165016400 is about 548.4988265256.

Adding to 165016400 its reverse (4610561), we get a palindrome (169626961).

The spelling of 165016400 in words is "one hundred sixty-five million, sixteen thousand, four hundred".