165961440 has 192 divisors, whose sum is σ = 595667520. Its totient is φ = 43130880.

The previous prime is 165961421. The next prime is 165961457. The reversal of 165961440 is 44169561.

165961440 is a `hidden beast` number, since 16 + 596 + 14 + 40 = 666.

165961440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 165961395 and 165961404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176652 + ... + 177588.

It is an arithmetic number, because the mean of its divisors is an integer number (3102435).

Almost surely, 2^165961440 is an apocalyptic number.

165961440 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 165961440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297833760).

165961440 is an abundant number, since it is smaller than the sum of its proper divisors (429706080).

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

165961440 is a wasteful number, since it uses less digits than its factorization.

165961440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 988 counting only the distinct ones).

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

The square root of 165961440 is about 12882.6022216010. The cubic root of 165961440 is about 549.5439083885.

The spelling of 165961440 in words is "one hundred sixty-five million, nine hundred sixty-one thousand, four hundred forty".