1655656000 has 112 divisors (see below), whose sum is σ = 4118914800. Its totient is φ = 659251200.

The previous prime is 1655655997. The next prime is 1655656001. The reversal of 1655656000 is 6565561.

It can be written as a sum of positive squares in 8 ways, for example, as 282508864 + 1373147136 = 16808^2 + 37056^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1655656001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2791704 + ... + 2792296.

It is an arithmetic number, because the mean of its divisors is an integer number (36776025).

Almost surely, 2^1655656000 is an apocalyptic number.

1655656000 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 1655656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059457400).

1655656000 is an abundant number, since it is smaller than the sum of its proper divisors (2463258800).

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

1655656000 is an equidigital number, since it uses as much as digits as its factorization.

1655656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 34.

The square root of 1655656000 is about 40689.7530098181. The cubic root of 1655656000 is about 1183.0144129423.

The spelling of 1655656000 in words is "one billion, six hundred fifty-five million, six hundred fifty-six thousand".