1602944640 has 384 divisors, whose sum is σ = 6268691520. Its totient is φ = 388177920.

The previous prime is 1602944617. The next prime is 1602944647. The reversal of 1602944640 is 464492061.

1602944640 is a `hidden beast` number, since 1 + 6 + 0 + 2 + 9 + 4 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 1602944595 and 1602944604.

It is not an unprimeable number, because it can be changed into a prime (1602944647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1710252 + ... + 1711188.

Almost surely, 2^1602944640 is an apocalyptic number.

1602944640 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 1602944640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3134345760).

1602944640 is an abundant number, since it is smaller than the sum of its proper divisors (4665746880).

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

1602944640 is an equidigital number, since it uses as much as digits as its factorization.

1602944640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1602944640 is about 40036.7910802052. The cubic root of 1602944640 is about 1170.3241705292.

The spelling of 1602944640 in words is "one billion, six hundred two million, nine hundred forty-four thousand, six hundred forty".