165970480 has 80 divisors (see below), whose sum is σ = 429972480. Its totient is φ = 59157504.

The previous prime is 165970477. The next prime is 165970499. The reversal of 165970480 is 84079561.

165970480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27409 + ... + 32911.

It is an arithmetic number, because the mean of its divisors is an integer number (5374656).

Almost surely, 2^165970480 is an apocalyptic number.

165970480 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 165970480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214986240).

165970480 is an abundant number, since it is smaller than the sum of its proper divisors (264002000).

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

165970480 is a wasteful number, since it uses less digits than its factorization.

165970480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5558 (or 5552 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 165970480 is about 12882.9530776138. The cubic root of 165970480 is about 549.5538861816.

The spelling of 165970480 in words is "one hundred sixty-five million, nine hundred seventy thousand, four hundred eighty".