165070400 has 168 divisors, whose sum is σ = 452408544. Its totient is φ = 58777600.

The previous prime is 165070397. The next prime is 165070417. The reversal of 165070400 is 4070561.

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, 1460744 + ... + 1460856.

It is an arithmetic number, because the mean of its divisors is an integer number (2692908).

Almost surely, 2^165070400 is an apocalyptic number.

165070400 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 165070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226204272).

165070400 is an abundant number, since it is smaller than the sum of its proper divisors (287338144).

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

165070400 is a wasteful number, since it uses less digits than its factorization.

165070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 165070400 is about 12847.9726027105. The cubic root of 165070400 is about 548.5586502893.

The spelling of 165070400 in words is "one hundred sixty-five million, seventy thousand, four hundred".