1655256960 has 384 divisors, whose sum is σ = 6649306560. Its totient is φ = 371589120.

The previous prime is 1655256959. The next prime is 1655257001. The reversal of 1655256960 is 696525561.

1655256960 is a `hidden beast` number, since 1 + 6 + 5 + 525 + 69 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2459184 + ... + 2459856.

Almost surely, 2^1655256960 is an apocalyptic number.

1655256960 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 1655256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3324653280).

1655256960 is an abundant number, since it is smaller than the sum of its proper divisors (4994049600).

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

1655256960 is a wasteful number, since it uses less digits than its factorization.

1655256960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The square root of 1655256960 is about 40684.8492684931. The cubic root of 1655256960 is about 1182.9193634067.

The spelling of 1655256960 in words is "one billion, six hundred fifty-five million, two hundred fifty-six thousand, nine hundred sixty".