1001655720 has 192 divisors, whose sum is σ = 3636097920. Its totient is φ = 246530304.

The previous prime is 1001655713. The next prime is 1001655757. The reversal of 1001655720 is 275561001.

1001655720 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 655 + 7 + 2 + 0 = 666.

1001655720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122397 + ... + 130323.

It is an arithmetic number, because the mean of its divisors is an integer number (18938010).

Almost surely, 2^1001655720 is an apocalyptic number.

1001655720 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 1001655720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1818048960).

1001655720 is an abundant number, since it is smaller than the sum of its proper divisors (2634442200).

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

1001655720 is a wasteful number, since it uses less digits than its factorization.

1001655720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7966 (or 7950 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 1001655720 is about 31648.9450061136. The cubic root of 1001655720 is about 1000.5516023456.

The spelling of 1001655720 in words is "one billion, one million, six hundred fifty-five thousand, seven hundred twenty".