165363840 has 192 divisors, whose sum is σ = 601473600. Its totient is φ = 41748480.

The previous prime is 165363833. The next prime is 165363851. The reversal of 165363840 is 48363561.

165363840 is a `hidden beast` number, since 16 + 5 + 3 + 638 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 165363795 and 165363804.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108685 + ... + 110195.

It is an arithmetic number, because the mean of its divisors is an integer number (3132675).

Almost surely, 2^165363840 is an apocalyptic number.

165363840 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 165363840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300736800).

165363840 is an abundant number, since it is smaller than the sum of its proper divisors (436109760).

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

165363840 is a wasteful number, since it uses less digits than its factorization.

165363840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1555 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 165363840 is about 12859.3872326795. The cubic root of 165363840 is about 548.8835091806.

It can be divided in two parts, 16 and 5363840, that added together give a square (5363856 = 2316²).

The spelling of 165363840 in words is "one hundred sixty-five million, three hundred sixty-three thousand, eight hundred forty".