1656225792 has 240 divisors, whose sum is σ = 5343538200. Its totient is φ = 509607936.

The previous prime is 1656225773. The next prime is 1656225793. The reversal of 1656225792 is 2975226561.

1656225792 is a `hidden beast` number, since 1 + 6 + 56 + 22 + 579 + 2 = 666.

Its product of digits (453600) is a multiple of the sum of its prime divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1656225793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 127401978 + ... + 127401990.

Almost surely, 2^1656225792 is an apocalyptic number.

1656225792 is a gapful number since it is divisible by the number (12) 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 1656225792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2671769100).

1656225792 is an abundant number, since it is smaller than the sum of its proper divisors (3687312408).

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

1656225792 is an frugal number, since it uses more digits than its factorization.

1656225792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 18 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 1656225792 is about 40696.7540720387. The cubic root of 1656225792 is about 1183.1501083678.

The spelling of 1656225792 in words is "one billion, six hundred fifty-six million, two hundred twenty-five thousand, seven hundred ninety-two".