1605263328 has 72 divisors (see below), whose sum is σ = 4712250816. Its totient is φ = 517824000.

The previous prime is 1605263287. The next prime is 1605263347. The reversal of 1605263328 is 8233625061.

It is a happy number.

1605263328 is a `hidden beast` number, since 1 + 605 + 26 + 3 + 3 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 1605263292 and 1605263301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80973 + ... + 98828.

It is an arithmetic number, because the mean of its divisors is an integer number (65447928).

Almost surely, 2^1605263328 is an apocalyptic number.

1605263328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1605263328 is an abundant number, since it is smaller than the sum of its proper divisors (3106987488).

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

1605263328 is a wasteful number, since it uses less digits than its factorization.

1605263328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179848 (or 179837 counting only the distinct ones).

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

The square root of 1605263328 is about 40065.7375821287. The cubic root of 1605263328 is about 1170.8881969178. Note that the first 3 decimals are identical.

Adding to 1605263328 its reverse (8233625061), we get a palindrome (9838888389).

The spelling of 1605263328 in words is "one billion, six hundred five million, two hundred sixty-three thousand, three hundred twenty-eight".