165427840 has 64 divisors (see below), whose sum is σ = 403020360. Its totient is φ = 64909312.

The previous prime is 165427831. The next prime is 165427849. The reversal of 165427840 is 48724561.

It is an interprime number because it is at equal distance from previous prime (165427831) and next prime (165427849).

It can be written as a sum of positive squares in 4 ways, for example, as 132158016 + 33269824 = 11496^2 + 5768^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 165427840.

It is not an unprimeable number, because it can be changed into a prime (165427849) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31482 + ... + 36358.

Almost surely, 2^165427840 is an apocalyptic number.

165427840 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 165427840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201510180).

165427840 is an abundant number, since it is smaller than the sum of its proper divisors (237592520).

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

165427840 is an equidigital number, since it uses as much as digits as its factorization.

165427840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4949 (or 4937 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 165427840 is about 12861.8754464503. The cubic root of 165427840 is about 548.9543106603.

The spelling of 165427840 in words is "one hundred sixty-five million, four hundred twenty-seven thousand, eight hundred forty".