165408416 has 48 divisors (see below), whose sum is σ = 337478400. Its totient is φ = 79752960.

The previous prime is 165408409. The next prime is 165408469. The reversal of 165408416 is 614804561.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106010 + ... + 107558.

It is an arithmetic number, because the mean of its divisors is an integer number (7030800).

Almost surely, 2^165408416 is an apocalyptic number.

165408416 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 165408416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168739200).

165408416 is an abundant number, since it is smaller than the sum of its proper divisors (172069984).

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

165408416 is a wasteful number, since it uses less digits than its factorization.

165408416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1677 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 165408416 is about 12861.1203244507. The cubic root of 165408416 is about 548.9328243415.

The spelling of 165408416 in words is "one hundred sixty-five million, four hundred eight thousand, four hundred sixteen".