1662893856 has 144 divisors (see below), whose sum is σ = 5108515776. Its totient is φ = 510064128.

The previous prime is 1662893809. The next prime is 1662893857. The reversal of 1662893856 is 6583982661.

It is a happy number.

1662893856 is a `hidden beast` number, since 1 + 6 + 628 + 9 + 3 + 8 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (1662893857) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1882791 + ... + 1883673.

It is an arithmetic number, because the mean of its divisors is an integer number (35475804).

Almost surely, 2^1662893856 is an apocalyptic number.

1662893856 is a gapful number since it is divisible by the number (16) 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 1662893856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2554257888).

1662893856 is an abundant number, since it is smaller than the sum of its proper divisors (3445621920).

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

1662893856 is a wasteful number, since it uses less digits than its factorization.

1662893856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1415 (or 1404 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 1662893856 is about 40778.5955618876. The cubic root of 1662893856 is about 1184.7357932575.

The spelling of 1662893856 in words is "one billion, six hundred sixty-two million, eight hundred ninety-three thousand, eight hundred fifty-six".