1629720144 has 60 divisors (see below), whose sum is σ = 4911801076. Its totient is φ = 501451776.

The previous prime is 1629720139. The next prime is 1629720217. The reversal of 1629720144 is 4410279261.

It is a happy number.

1629720144 is a `hidden beast` number, since 1 + 629 + 7 + 20 + 1 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 729000000 + 900720144 = 27000^2 + 30012^2 .

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 = 1629720099 and 1629720108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 433417 + ... + 437160.

Almost surely, 2^1629720144 is an apocalyptic number.

It is an amenable number.

1629720144 is an abundant number, since it is smaller than the sum of its proper divisors (3282080932).

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

1629720144 is a wasteful number, since it uses less digits than its factorization.

1629720144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870604 (or 870595 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1629720144 is about 40369.7924691223. The cubic root of 1629720144 is about 1176.8045653516.

The spelling of 1629720144 in words is "one billion, six hundred twenty-nine million, seven hundred twenty thousand, one hundred forty-four".