1655686656 has 400 divisors, whose sum is σ = 5531614704. Its totient is φ = 489701376.

The previous prime is 1655686633. The next prime is 1655686667. The reversal of 1655686656 is 6566865561.

It is a happy number.

1655686656 is a `hidden beast` number, since 1 + 6 + 556 + 86 + 6 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 39 ways as a sum of consecutive naturals, for example, 19947991 + ... + 19948073.

Almost surely, 2^1655686656 is an apocalyptic number.

1655686656 is a gapful number since it is divisible by the number (16) 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 1655686656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2765807352).

1655686656 is an abundant number, since it is smaller than the sum of its proper divisors (3875928048).

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

1655686656 is an equidigital number, since it uses as much as digits as its factorization.

1655686656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 138 counting only the distinct ones).

The product of its digits is 7776000, while the sum is 54.

The square root of 1655686656 is about 40690.1297122533. The cubic root of 1655686656 is about 1183.0217144321.

The spelling of 1655686656 in words is "one billion, six hundred fifty-five million, six hundred eighty-six thousand, six hundred fifty-six".