1663249140 has 360 divisors, whose sum is σ = 6340384512. Its totient is φ = 363242880.

The previous prime is 1663249129. The next prime is 1663249153. The reversal of 1663249140 is 419423661.

1663249140 is a `hidden beast` number, since 1 + 6 + 632 + 4 + 9 + 14 + 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 = 1663249095 and 1663249104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1825285 + ... + 1826195.

Almost surely, 2^1663249140 is an apocalyptic number.

1663249140 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 1663249140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3170192256).

1663249140 is an abundant number, since it is smaller than the sum of its proper divisors (4677135372).

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

1663249140 is a wasteful number, since it uses less digits than its factorization.

1663249140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1663249140 is about 40782.9515851906. The cubic root of 1663249140 is about 1184.8201617810.

The spelling of 1663249140 in words is "one billion, six hundred sixty-three million, two hundred forty-nine thousand, one hundred forty".