1663035840 has 224 divisors, whose sum is σ = 5951646720. Its totient is φ = 437068800.

The previous prime is 1663035821. The next prime is 1663035841. The reversal of 1663035840 is 485303661.

1663035840 is a `hidden beast` number, since 16 + 63 + 0 + 3 + 584 + 0 = 666.

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 = 1663035795 and 1663035804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1663035841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 612085 + ... + 614795.

Almost surely, 2^1663035840 is an apocalyptic number.

1663035840 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 1663035840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2975823360).

1663035840 is an abundant number, since it is smaller than the sum of its proper divisors (4288610880).

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

1663035840 is a wasteful number, since it uses less digits than its factorization.

1663035840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2808 (or 2792 counting only the distinct ones).

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

The square root of 1663035840 is about 40780.3364380433. The cubic root of 1663035840 is about 1184.7695113325.

The spelling of 1663035840 in words is "one billion, six hundred sixty-three million, thirty-five thousand, eight hundred forty".