165490416 has 240 divisors, whose sum is σ = 581171136. Its totient is φ = 42799104.

The previous prime is 165490379. The next prime is 165490417. The reversal of 165490416 is 614094561.

165490416 is a `hidden beast` number, since 165 + 490 + 4 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165490417) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 956506 + ... + 956678.

Almost surely, 2^165490416 is an apocalyptic number.

165490416 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 165490416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290585568).

165490416 is an abundant number, since it is smaller than the sum of its proper divisors (415680720).

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

165490416 is a wasteful number, since it uses less digits than its factorization.

165490416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 165490416 is about 12864.3078321377. The cubic root of 165490416 is about 549.0235191533.

The spelling of 165490416 in words is "one hundred sixty-five million, four hundred ninety thousand, four hundred sixteen".