1656840960 has 288 divisors, whose sum is σ = 5933813760. Its totient is φ = 437760000.

The previous prime is 1656840953. The next prime is 1656840989. The reversal of 1656840960 is 690486561.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6600835 + ... + 6601085.

It is an arithmetic number, because the mean of its divisors is an integer number (20603520).

Almost surely, 2^1656840960 is an apocalyptic number.

1656840960 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 1656840960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2966906880).

1656840960 is an abundant number, since it is smaller than the sum of its proper divisors (4276972800).

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

1656840960 is a wasteful number, since it uses less digits than its factorization.

1656840960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 1656840960 is about 40704.3113195642. The cubic root of 1656840960 is about 1183.2965751107.

The spelling of 1656840960 in words is "one billion, six hundred fifty-six million, eight hundred forty thousand, nine hundred sixty".