1001655648 has 108 divisors (see below), whose sum is σ = 3313559340. Its totient is φ = 286183296.

The previous prime is 1001655647. The next prime is 1001655671. The reversal of 1001655648 is 8465561001.

1001655648 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 6 + 5 + 5 + 648 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001655647) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 21378 + ... + 49601.

It is an arithmetic number, because the mean of its divisors is an integer number (30681105).

Almost surely, 2^1001655648 is an apocalyptic number.

1001655648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1001655648 is an abundant number, since it is smaller than the sum of its proper divisors (2311903692).

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

1001655648 is a wasteful number, since it uses less digits than its factorization.

1001655648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71009 (or 70991 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 1001655648 is about 31648.9438686349. The cubic root of 1001655648 is about 1000.5515783720.

The spelling of 1001655648 in words is "one billion, one million, six hundred fifty-five thousand, six hundred forty-eight".