165379600 has 45 divisors (see below), whose sum is σ = 397943373. Its totient is φ = 66048960.

The previous prime is 165379597. The next prime is 165379607. The reversal of 165379600 is 6973561.

The square root of 165379600 is 12860.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 59536656 + 105842944 = 7716^2 + 10288^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 165379600.

It is not an unprimeable number, because it can be changed into a prime (165379607) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 256879 + ... + 257521.

Almost surely, 2^165379600 is an apocalyptic number.

165379600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

165379600 is the 12860-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165379600

165379600 is an abundant number, since it is smaller than the sum of its proper divisors (232563773).

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

165379600 is an frugal number, since it uses more digits than its factorization.

165379600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 37.

The cubic root of 165379600 is about 548.9009457401.

The spelling of 165379600 in words is "one hundred sixty-five million, three hundred seventy-nine thousand, six hundred".