1144647720 has 256 divisors, whose sum is σ = 3981312000. Its totient is φ = 292204800.

The previous prime is 1144647701. The next prime is 1144647733. The reversal of 1144647720 is 277464411.

It is a happy number.

1144647720 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 647 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5992825 + ... + 5993015.

It is an arithmetic number, because the mean of its divisors is an integer number (15552000).

Almost surely, 2^1144647720 is an apocalyptic number.

1144647720 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 1144647720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1990656000).

1144647720 is an abundant number, since it is smaller than the sum of its proper divisors (2836664280).

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

1144647720 is a wasteful number, since it uses less digits than its factorization.

1144647720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 1144647720 is about 33832.6428172556. The cubic root of 1144647720 is about 1046.0616546665.

The spelling of 1144647720 in words is "one billion, one hundred forty-four million, six hundred forty-seven thousand, seven hundred twenty".